Finding the Third Proportional to 38,458 and 82,662

Step by Step Solution

1. Step 1: Write the proportion equation
   38,458 : 82,662 = 82,662 : x
2. Step 2: Convert to fraction form
   38,458/82,662 = 82,662/x
3. Step 3: Cross multiply
   38,458x = 82,662 × 82,662
4. Step 4: Simplify right side
   38,458x = 6,833,006,244
5. Step 5: Solve for x
   x = 6,833,006,244/38,458
6. Step 6: Final answer
   x = 177,674.51