Finding the Third Proportional to 13,693.50 and 29,462.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,693.50 : 29,462.63 = 29,462.63 : x
2. Step 2: Convert to fraction form
   13,693.50/29,462.63 = 29,462.63/x
3. Step 3: Cross multiply
   13,693.50x = 29,462.63 × 29,462.63
4. Step 4: Simplify right side
   13,693.50x = 868,046,271.89
5. Step 5: Solve for x
   x = 868,046,271.89/13,693.50
6. Step 6: Final answer
   x = 63,391.12