Finding the Third Proportional to 36,478 and 52,162

Step by Step Solution

1. Step 1: Write the proportion equation
   36,478 : 52,162 = 52,162 : x
2. Step 2: Convert to fraction form
   36,478/52,162 = 52,162/x
3. Step 3: Cross multiply
   36,478x = 52,162 × 52,162
4. Step 4: Simplify right side
   36,478x = 2,720,874,244
5. Step 5: Solve for x
   x = 2,720,874,244/36,478
6. Step 6: Final answer
   x = 74,589.46