Finding the Third Proportional to 26,098 and 55,436

Step by Step Solution

1. Step 1: Write the proportion equation
   26,098 : 55,436 = 55,436 : x
2. Step 2: Convert to fraction form
   26,098/55,436 = 55,436/x
3. Step 3: Cross multiply
   26,098x = 55,436 × 55,436
4. Step 4: Simplify right side
   26,098x = 3,073,150,096
5. Step 5: Solve for x
   x = 3,073,150,096/26,098
6. Step 6: Final answer
   x = 117,754.24