Finding the Third Proportional to 4,240.50 and 5,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,240.50 : 5,662.50 = 5,662.50 : x
2. Step 2: Convert to fraction form
   4,240.50/5,662.50 = 5,662.50/x
3. Step 3: Cross multiply
   4,240.50x = 5,662.50 × 5,662.50
4. Step 4: Simplify right side
   4,240.50x = 32,063,906.25
5. Step 5: Solve for x
   x = 32,063,906.25/4,240.50
6. Step 6: Final answer
   x = 7,561.35