Finding the Third Proportional to 26,414 and 55,004

Step by Step Solution

1. Step 1: Write the proportion equation
   26,414 : 55,004 = 55,004 : x
2. Step 2: Convert to fraction form
   26,414/55,004 = 55,004/x
3. Step 3: Cross multiply
   26,414x = 55,004 × 55,004
4. Step 4: Simplify right side
   26,414x = 3,025,440,016
5. Step 5: Solve for x
   x = 3,025,440,016/26,414
6. Step 6: Final answer
   x = 114,539.26