Finding the Third Proportional to 5,714.50 and 8,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,714.50 : 8,587.50 = 8,587.50 : x
2. Step 2: Convert to fraction form
   5,714.50/8,587.50 = 8,587.50/x
3. Step 3: Cross multiply
   5,714.50x = 8,587.50 × 8,587.50
4. Step 4: Simplify right side
   5,714.50x = 73,745,156.25
5. Step 5: Solve for x
   x = 73,745,156.25/5,714.50
6. Step 6: Final answer
   x = 12,904.92