Finding the Third Proportional to 2,527 and 3,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527 : 3,565.50 = 3,565.50 : x
2. Step 2: Convert to fraction form
   2,527/3,565.50 = 3,565.50/x
3. Step 3: Cross multiply
   2,527x = 3,565.50 × 3,565.50
4. Step 4: Simplify right side
   2,527x = 12,712,790.25
5. Step 5: Solve for x
   x = 12,712,790.25/2,527
6. Step 6: Final answer
   x = 5,030.78