Finding the Third Proportional to 26,922 and 37,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,922 : 37,726.50 = 37,726.50 : x
2. Step 2: Convert to fraction form
   26,922/37,726.50 = 37,726.50/x
3. Step 3: Cross multiply
   26,922x = 37,726.50 × 37,726.50
4. Step 4: Simplify right side
   26,922x = 1,423,288,802.25
5. Step 5: Solve for x
   x = 1,423,288,802.25/26,922
6. Step 6: Final answer
   x = 52,867.13