Finding the Third Proportional to 13,699.50 and 29,935.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13,699.50 : 29,935.31 = 29,935.31 : x
2. Step 2: Convert to fraction form
   13,699.50/29,935.31 = 29,935.31/x
3. Step 3: Cross multiply
   13,699.50x = 29,935.31 × 29,935.31
4. Step 4: Simplify right side
   13,699.50x = 896,122,934.47
5. Step 5: Solve for x
   x = 896,122,934.47/13,699.50
6. Step 6: Final answer
   x = 65,412.82