Finding the Third Proportional to 26,678 and 58,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,678 : 58,053.50 = 58,053.50 : x
2. Step 2: Convert to fraction form
   26,678/58,053.50 = 58,053.50/x
3. Step 3: Cross multiply
   26,678x = 58,053.50 × 58,053.50
4. Step 4: Simplify right side
   26,678x = 3,370,208,862.25
5. Step 5: Solve for x
   x = 3,370,208,862.25/26,678
6. Step 6: Final answer
   x = 126,329.14