Finding the Third Proportional to 26,407 and 55,008

Step by Step Solution

1. Step 1: Write the proportion equation
   26,407 : 55,008 = 55,008 : x
2. Step 2: Convert to fraction form
   26,407/55,008 = 55,008/x
3. Step 3: Cross multiply
   26,407x = 55,008 × 55,008
4. Step 4: Simplify right side
   26,407x = 3,025,880,064
5. Step 5: Solve for x
   x = 3,025,880,064/26,407
6. Step 6: Final answer
   x = 114,586.29