Finding the Third Proportional to 7,471.50 and 10,470.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,471.50 : 10,470.75 = 10,470.75 : x
2. Step 2: Convert to fraction form
   7,471.50/10,470.75 = 10,470.75/x
3. Step 3: Cross multiply
   7,471.50x = 10,470.75 × 10,470.75
4. Step 4: Simplify right side
   7,471.50x = 109,636,605.56
5. Step 5: Solve for x
   x = 109,636,605.56/7,471.50
6. Step 6: Final answer
   x = 14,673.98