Finding the Third Proportional to 5,833.50 and 8,658.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,833.50 : 8,658.75 = 8,658.75 : x
2. Step 2: Convert to fraction form
   5,833.50/8,658.75 = 8,658.75/x
3. Step 3: Cross multiply
   5,833.50x = 8,658.75 × 8,658.75
4. Step 4: Simplify right side
   5,833.50x = 74,973,951.56
5. Step 5: Solve for x
   x = 74,973,951.56/5,833.50
6. Step 6: Final answer
   x = 12,852.31