Finding the Third Proportional to 38,139 and 82,632

Step by Step Solution

1. Step 1: Write the proportion equation
   38,139 : 82,632 = 82,632 : x
2. Step 2: Convert to fraction form
   38,139/82,632 = 82,632/x
3. Step 3: Cross multiply
   38,139x = 82,632 × 82,632
4. Step 4: Simplify right side
   38,139x = 6,828,047,424
5. Step 5: Solve for x
   x = 6,828,047,424/38,139
6. Step 6: Final answer
   x = 179,030.58