Finding the Third Proportional to 6,502.50 and 10,470.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,502.50 : 10,470.38 = 10,470.38 : x
2. Step 2: Convert to fraction form
   6,502.50/10,470.38 = 10,470.38/x
3. Step 3: Cross multiply
   6,502.50x = 10,470.38 × 10,470.38
4. Step 4: Simplify right side
   6,502.50x = 109,628,752.64
5. Step 5: Solve for x
   x = 109,628,752.64/6,502.50
6. Step 6: Final answer
   x = 16,859.48