Finding the Third Proportional to 9,695.25 and 14,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,695.25 : 14,737.50 = 14,737.50 : x
2. Step 2: Convert to fraction form
   9,695.25/14,737.50 = 14,737.50/x
3. Step 3: Cross multiply
   9,695.25x = 14,737.50 × 14,737.50
4. Step 4: Simplify right side
   9,695.25x = 217,193,906.25
5. Step 5: Solve for x
   x = 217,193,906.25/9,695.25
6. Step 6: Final answer
   x = 22,402.09