Finding the Third Proportional to 26,674.50 and 35,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,674.50 : 35,797.50 = 35,797.50 : x
2. Step 2: Convert to fraction form
   26,674.50/35,797.50 = 35,797.50/x
3. Step 3: Cross multiply
   26,674.50x = 35,797.50 × 35,797.50
4. Step 4: Simplify right side
   26,674.50x = 1,281,461,006.25
5. Step 5: Solve for x
   x = 1,281,461,006.25/26,674.50
6. Step 6: Final answer
   x = 48,040.68