Finding the Third Proportional to 7,138.50 and 9,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,138.50 : 9,472.50 = 9,472.50 : x
2. Step 2: Convert to fraction form
   7,138.50/9,472.50 = 9,472.50/x
3. Step 3: Cross multiply
   7,138.50x = 9,472.50 × 9,472.50
4. Step 4: Simplify right side
   7,138.50x = 89,728,256.25
5. Step 5: Solve for x
   x = 89,728,256.25/7,138.50
6. Step 6: Final answer
   x = 12,569.62