Finding the Third Proportional to 17,511,133,971,982 and 37,657,633,392,676

Step by Step Solution

1. Step 1: Write the proportion equation
   17,511,133,971,982 : 37,657,633,392,676 = 37,657,633,392,676 : x
2. Step 2: Convert to fraction form
   17,511,133,971,982/37,657,633,392,676 = 37,657,633,392,676/x
3. Step 3: Cross multiply
   17,511,133,971,982x = 37,657,633,392,676 × 37,657,633,392,676
4. Step 4: Simplify right side
   17,511,133,971,982x = 1,418,097,352,737,186,548,992,180,224
5. Step 5: Solve for x
   x = 1,418,097,352,737,186,548,992,180,224/17,511,133,971,982
6. Step 6: Final answer
   x = 80,982,611,120,796.48