Finding the Third Proportional to 5,478.91 and 7,752.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,478.91 : 7,752.61 = 7,752.61 : x
2. Step 2: Convert to fraction form
   5,478.91/7,752.61 = 7,752.61/x
3. Step 3: Cross multiply
   5,478.91x = 7,752.61 × 7,752.61
4. Step 4: Simplify right side
   5,478.91x = 60,102,952.12
5. Step 5: Solve for x
   x = 60,102,952.12/5,478.91
6. Step 6: Final answer
   x = 10,969.88