Finding the Third Proportional to 7,471.50 and 10,152.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,471.50 : 10,152.75 = 10,152.75 : x
2. Step 2: Convert to fraction form
   7,471.50/10,152.75 = 10,152.75/x
3. Step 3: Cross multiply
   7,471.50x = 10,152.75 × 10,152.75
4. Step 4: Simplify right side
   7,471.50x = 103,078,332.56
5. Step 5: Solve for x
   x = 103,078,332.56/7,471.50
6. Step 6: Final answer
   x = 13,796.20