Finding the Third Proportional to 2,527 and 5,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527 : 5,475.50 = 5,475.50 : x
2. Step 2: Convert to fraction form
   2,527/5,475.50 = 5,475.50/x
3. Step 3: Cross multiply
   2,527x = 5,475.50 × 5,475.50
4. Step 4: Simplify right side
   2,527x = 29,981,100.25
5. Step 5: Solve for x
   x = 29,981,100.25/2,527
6. Step 6: Final answer
   x = 11,864.31