Finding the Third Proportional to 14,899.50 and 21,729.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,899.50 : 21,729.75 = 21,729.75 : x
2. Step 2: Convert to fraction form
   14,899.50/21,729.75 = 21,729.75/x
3. Step 3: Cross multiply
   14,899.50x = 21,729.75 × 21,729.75
4. Step 4: Simplify right side
   14,899.50x = 472,182,035.06
5. Step 5: Solve for x
   x = 472,182,035.06/14,899.50
6. Step 6: Final answer
   x = 31,691.13