Finding the Third Proportional to 26,206.88 and 56,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   26,206.88 : 56,585.25 = 56,585.25 : x
2. Step 2: Convert to fraction form
   26,206.88/56,585.25 = 56,585.25/x
3. Step 3: Cross multiply
   26,206.88x = 56,585.25 × 56,585.25
4. Step 4: Simplify right side
   26,206.88x = 3,201,890,517.56
5. Step 5: Solve for x
   x = 3,201,890,517.56/26,206.88
6. Step 6: Final answer
   x = 122,177.50