Finding the Third Proportional to 14,350.50 and 31,623.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,350.50 : 31,623.75 = 31,623.75 : x
2. Step 2: Convert to fraction form
   14,350.50/31,623.75 = 31,623.75/x
3. Step 3: Cross multiply
   14,350.50x = 31,623.75 × 31,623.75
4. Step 4: Simplify right side
   14,350.50x = 1,000,061,564.06
5. Step 5: Solve for x
   x = 1,000,061,564.06/14,350.50
6. Step 6: Final answer
   x = 69,688.27