Finding the Third Proportional to 2,527.50 and 5,155.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.50 : 5,155.88 = 5,155.88 : x
2. Step 2: Convert to fraction form
   2,527.50/5,155.88 = 5,155.88/x
3. Step 3: Cross multiply
   2,527.50x = 5,155.88 × 5,155.88
4. Step 4: Simplify right side
   2,527.50x = 26,583,047.02
5. Step 5: Solve for x
   x = 26,583,047.02/2,527.50
6. Step 6: Final answer
   x = 10,517.53