Finding the Third Proportional to 26,380 and 37,789

Step by Step Solution

1. Step 1: Write the proportion equation
   26,380 : 37,789 = 37,789 : x
2. Step 2: Convert to fraction form
   26,380/37,789 = 37,789/x
3. Step 3: Cross multiply
   26,380x = 37,789 × 37,789
4. Step 4: Simplify right side
   26,380x = 1,428,008,521
5. Step 5: Solve for x
   x = 1,428,008,521/26,380
6. Step 6: Final answer
   x = 54,132.24