Finding the Third Proportional to 26,138.81 and 38,296.69

Step by Step Solution

1. Step 1: Write the proportion equation
   26,138.81 : 38,296.69 = 38,296.69 : x
2. Step 2: Convert to fraction form
   26,138.81/38,296.69 = 38,296.69/x
3. Step 3: Cross multiply
   26,138.81x = 38,296.69 × 38,296.69
4. Step 4: Simplify right side
   26,138.81x = 1,466,636,273.47
5. Step 5: Solve for x
   x = 1,466,636,273.47/26,138.81
6. Step 6: Final answer
   x = 56,109.52