Finding the Third Proportional to 26,840 and 57,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,840 : 57,581.50 = 57,581.50 : x
2. Step 2: Convert to fraction form
   26,840/57,581.50 = 57,581.50/x
3. Step 3: Cross multiply
   26,840x = 57,581.50 × 57,581.50
4. Step 4: Simplify right side
   26,840x = 3,315,629,142.25
5. Step 5: Solve for x
   x = 3,315,629,142.25/26,840
6. Step 6: Final answer
   x = 123,533.13