Finding the Third Proportional to 26,478 and 37,036

Step by Step Solution

1. Step 1: Write the proportion equation
   26,478 : 37,036 = 37,036 : x
2. Step 2: Convert to fraction form
   26,478/37,036 = 37,036/x
3. Step 3: Cross multiply
   26,478x = 37,036 × 37,036
4. Step 4: Simplify right side
   26,478x = 1,371,665,296
5. Step 5: Solve for x
   x = 1,371,665,296/26,478
6. Step 6: Final answer
   x = 51,803.96