Finding the Third Proportional to 26,586 and 57,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,586 : 57,550.50 = 57,550.50 : x
2. Step 2: Convert to fraction form
   26,586/57,550.50 = 57,550.50/x
3. Step 3: Cross multiply
   26,586x = 57,550.50 × 57,550.50
4. Step 4: Simplify right side
   26,586x = 3,312,060,050.25
5. Step 5: Solve for x
   x = 3,312,060,050.25/26,586
6. Step 6: Final answer
   x = 124,579.10