Finding the Third Proportional to 36,492 and 52,180

Step by Step Solution

1. Step 1: Write the proportion equation
   36,492 : 52,180 = 52,180 : x
2. Step 2: Convert to fraction form
   36,492/52,180 = 52,180/x
3. Step 3: Cross multiply
   36,492x = 52,180 × 52,180
4. Step 4: Simplify right side
   36,492x = 2,722,752,400
5. Step 5: Solve for x
   x = 2,722,752,400/36,492
6. Step 6: Final answer
   x = 74,612.31