Finding the Third Proportional to 38,746 and 82,820

Step by Step Solution

1. Step 1: Write the proportion equation
   38,746 : 82,820 = 82,820 : x
2. Step 2: Convert to fraction form
   38,746/82,820 = 82,820/x
3. Step 3: Cross multiply
   38,746x = 82,820 × 82,820
4. Step 4: Simplify right side
   38,746x = 6,859,152,400
5. Step 5: Solve for x
   x = 6,859,152,400/38,746
6. Step 6: Final answer
   x = 177,028.66