Finding the Third Proportional to 26,054 and 54,978

Step by Step Solution

1. Step 1: Write the proportion equation
   26,054 : 54,978 = 54,978 : x
2. Step 2: Convert to fraction form
   26,054/54,978 = 54,978/x
3. Step 3: Cross multiply
   26,054x = 54,978 × 54,978
4. Step 4: Simplify right side
   26,054x = 3,022,580,484
5. Step 5: Solve for x
   x = 3,022,580,484/26,054
6. Step 6: Final answer
   x = 116,012.15