Finding the Third Proportional to 5,761.50 and 8,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,761.50 : 8,665.50 = 8,665.50 : x
2. Step 2: Convert to fraction form
   5,761.50/8,665.50 = 8,665.50/x
3. Step 3: Cross multiply
   5,761.50x = 8,665.50 × 8,665.50
4. Step 4: Simplify right side
   5,761.50x = 75,090,890.25
5. Step 5: Solve for x
   x = 75,090,890.25/5,761.50
6. Step 6: Final answer
   x = 13,033.22