Finding the Third Proportional to 26,556 and 58,034

Step by Step Solution

1. Step 1: Write the proportion equation
   26,556 : 58,034 = 58,034 : x
2. Step 2: Convert to fraction form
   26,556/58,034 = 58,034/x
3. Step 3: Cross multiply
   26,556x = 58,034 × 58,034
4. Step 4: Simplify right side
   26,556x = 3,367,945,156
5. Step 5: Solve for x
   x = 3,367,945,156/26,556
6. Step 6: Final answer
   x = 126,824.26