Finding the Third Proportional to 5,585.50 and 8,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,585.50 : 8,684.50 = 8,684.50 : x
2. Step 2: Convert to fraction form
   5,585.50/8,684.50 = 8,684.50/x
3. Step 3: Cross multiply
   5,585.50x = 8,684.50 × 8,684.50
4. Step 4: Simplify right side
   5,585.50x = 75,420,540.25
5. Step 5: Solve for x
   x = 75,420,540.25/5,585.50
6. Step 6: Final answer
   x = 13,502.92