Finding the Third Proportional to 37,632 and 82,176

Step by Step Solution

1. Step 1: Write the proportion equation
   37,632 : 82,176 = 82,176 : x
2. Step 2: Convert to fraction form
   37,632/82,176 = 82,176/x
3. Step 3: Cross multiply
   37,632x = 82,176 × 82,176
4. Step 4: Simplify right side
   37,632x = 6,752,894,976
5. Step 5: Solve for x
   x = 6,752,894,976/37,632
6. Step 6: Final answer
   x = 179,445.55