Finding the Third Proportional to 6,288.50 and 8,510.13

Step by Step Solution

1. Step 1: Write the proportion equation
   6,288.50 : 8,510.13 = 8,510.13 : x
2. Step 2: Convert to fraction form
   6,288.50/8,510.13 = 8,510.13/x
3. Step 3: Cross multiply
   6,288.50x = 8,510.13 × 8,510.13
4. Step 4: Simplify right side
   6,288.50x = 72,422,227.52
5. Step 5: Solve for x
   x = 72,422,227.52/6,288.50
6. Step 6: Final answer
   x = 11,516.61