Finding the Third Proportional to 5,686.50 and 8,710.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,686.50 : 8,710.88 = 8,710.88 : x
2. Step 2: Convert to fraction form
   5,686.50/8,710.88 = 8,710.88/x
3. Step 3: Cross multiply
   5,686.50x = 8,710.88 × 8,710.88
4. Step 4: Simplify right side
   5,686.50x = 75,879,343.27
5. Step 5: Solve for x
   x = 75,879,343.27/5,686.50
6. Step 6: Final answer
   x = 13,343.77