Finding the Third Proportional to 26,749.50 and 41,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   26,749.50 : 41,585.25 = 41,585.25 : x
2. Step 2: Convert to fraction form
   26,749.50/41,585.25 = 41,585.25/x
3. Step 3: Cross multiply
   26,749.50x = 41,585.25 × 41,585.25
4. Step 4: Simplify right side
   26,749.50x = 1,729,333,017.56
5. Step 5: Solve for x
   x = 1,729,333,017.56/26,749.50
6. Step 6: Final answer
   x = 64,649.17