Finding the Third Proportional to 26,496 and 58,824

Step by Step Solution

1. Step 1: Write the proportion equation
   26,496 : 58,824 = 58,824 : x
2. Step 2: Convert to fraction form
   26,496/58,824 = 58,824/x
3. Step 3: Cross multiply
   26,496x = 58,824 × 58,824
4. Step 4: Simplify right side
   26,496x = 3,460,262,976
5. Step 5: Solve for x
   x = 3,460,262,976/26,496
6. Step 6: Final answer
   x = 130,595.67