Finding the Third Proportional to 2,527 and 5,468

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527 : 5,468 = 5,468 : x
2. Step 2: Convert to fraction form
   2,527/5,468 = 5,468/x
3. Step 3: Cross multiply
   2,527x = 5,468 × 5,468
4. Step 4: Simplify right side
   2,527x = 29,899,024
5. Step 5: Solve for x
   x = 29,899,024/2,527
6. Step 6: Final answer
   x = 11,831.83