Finding the Third Proportional to 14,527.50 and 21,734.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,527.50 : 21,734.25 = 21,734.25 : x
2. Step 2: Convert to fraction form
   14,527.50/21,734.25 = 21,734.25/x
3. Step 3: Cross multiply
   14,527.50x = 21,734.25 × 21,734.25
4. Step 4: Simplify right side
   14,527.50x = 472,377,623.06
5. Step 5: Solve for x
   x = 472,377,623.06/14,527.50
6. Step 6: Final answer
   x = 32,516.10