Finding the Third Proportional to 7,766,786 and 17,026,564

Step by Step Solution

1. Step 1: Write the proportion equation
   7,766,786 : 17,026,564 = 17,026,564 : x
2. Step 2: Convert to fraction form
   7,766,786/17,026,564 = 17,026,564/x
3. Step 3: Cross multiply
   7,766,786x = 17,026,564 × 17,026,564
4. Step 4: Simplify right side
   7,766,786x = 289,903,881,646,096
5. Step 5: Solve for x
   x = 289,903,881,646,096/7,766,786
6. Step 6: Final answer
   x = 37,326,106.53