Finding the Third Proportional to 26,819.25 and 31,760.25

Step by Step Solution

1. Step 1: Write the proportion equation
   26,819.25 : 31,760.25 = 31,760.25 : x
2. Step 2: Convert to fraction form
   26,819.25/31,760.25 = 31,760.25/x
3. Step 3: Cross multiply
   26,819.25x = 31,760.25 × 31,760.25
4. Step 4: Simplify right side
   26,819.25x = 1,008,713,480.06
5. Step 5: Solve for x
   x = 1,008,713,480.06/26,819.25
6. Step 6: Final answer
   x = 37,611.55