Finding the Third Proportional to 4,252.50 and 5,740.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,252.50 : 5,740.88 = 5,740.88 : x
2. Step 2: Convert to fraction form
   4,252.50/5,740.88 = 5,740.88/x
3. Step 3: Cross multiply
   4,252.50x = 5,740.88 × 5,740.88
4. Step 4: Simplify right side
   4,252.50x = 32,957,645.77
5. Step 5: Solve for x
   x = 32,957,645.77/4,252.50
6. Step 6: Final answer
   x = 7,750.18