Finding the Third Proportional to 26,517 and 57,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,517 : 57,590.50 = 57,590.50 : x
2. Step 2: Convert to fraction form
   26,517/57,590.50 = 57,590.50/x
3. Step 3: Cross multiply
   26,517x = 57,590.50 × 57,590.50
4. Step 4: Simplify right side
   26,517x = 3,316,665,690.25
5. Step 5: Solve for x
   x = 3,316,665,690.25/26,517
6. Step 6: Final answer
   x = 125,076.96