Finding the Third Proportional to 17,511,133,971,980 and 37,657,633,392,672

Step by Step Solution

1. Step 1: Write the proportion equation
   17,511,133,971,980 : 37,657,633,392,672 = 37,657,633,392,672 : x
2. Step 2: Convert to fraction form
   17,511,133,971,980/37,657,633,392,672 = 37,657,633,392,672/x
3. Step 3: Cross multiply
   17,511,133,971,980x = 37,657,633,392,672 × 37,657,633,392,672
4. Step 4: Simplify right side
   17,511,133,971,980x = 1,418,097,352,736,885,282,806,169,600
5. Step 5: Solve for x
   x = 1,418,097,352,736,885,282,806,169,600/17,511,133,971,980
6. Step 6: Final answer
   x = 80,982,611,120,788.53