Finding the Third Proportional to 26,407.69 and 35,966.53

Step by Step Solution

1. Step 1: Write the proportion equation
   26,407.69 : 35,966.53 = 35,966.53 : x
2. Step 2: Convert to fraction form
   26,407.69/35,966.53 = 35,966.53/x
3. Step 3: Cross multiply
   26,407.69x = 35,966.53 × 35,966.53
4. Step 4: Simplify right side
   26,407.69x = 1,293,591,370.16
5. Step 5: Solve for x
   x = 1,293,591,370.16/26,407.69
6. Step 6: Final answer
   x = 48,985.41