Finding the Third Proportional to 5,782.88 and 8,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,782.88 : 8,658.50 = 8,658.50 : x
2. Step 2: Convert to fraction form
   5,782.88/8,658.50 = 8,658.50/x
3. Step 3: Cross multiply
   5,782.88x = 8,658.50 × 8,658.50
4. Step 4: Simplify right side
   5,782.88x = 74,969,622.25
5. Step 5: Solve for x
   x = 74,969,622.25/5,782.88
6. Step 6: Final answer
   x = 12,964.07