Finding the Third Proportional to 26,661 and 35,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,661 : 35,776.50 = 35,776.50 : x
2. Step 2: Convert to fraction form
   26,661/35,776.50 = 35,776.50/x
3. Step 3: Cross multiply
   26,661x = 35,776.50 × 35,776.50
4. Step 4: Simplify right side
   26,661x = 1,279,957,952.25
5. Step 5: Solve for x
   x = 1,279,957,952.25/26,661
6. Step 6: Final answer
   x = 48,008.63