Finding the Third Proportional to 2,587.50 and 5,677.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,587.50 : 5,677.88 = 5,677.88 : x
2. Step 2: Convert to fraction form
   2,587.50/5,677.88 = 5,677.88/x
3. Step 3: Cross multiply
   2,587.50x = 5,677.88 × 5,677.88
4. Step 4: Simplify right side
   2,587.50x = 32,238,264.52
5. Step 5: Solve for x
   x = 32,238,264.52/2,587.50
6. Step 6: Final answer
   x = 12,459.23