Finding the Third Proportional to 37,725 and 82,632

Step by Step Solution

1. Step 1: Write the proportion equation
   37,725 : 82,632 = 82,632 : x
2. Step 2: Convert to fraction form
   37,725/82,632 = 82,632/x
3. Step 3: Cross multiply
   37,725x = 82,632 × 82,632
4. Step 4: Simplify right side
   37,725x = 6,828,047,424
5. Step 5: Solve for x
   x = 6,828,047,424/37,725
6. Step 6: Final answer
   x = 180,995.29