Finding the Third Proportional to 38,820 and 82,256

Step by Step Solution

1. Step 1: Write the proportion equation
   38,820 : 82,256 = 82,256 : x
2. Step 2: Convert to fraction form
   38,820/82,256 = 82,256/x
3. Step 3: Cross multiply
   38,820x = 82,256 × 82,256
4. Step 4: Simplify right side
   38,820x = 6,766,049,536
5. Step 5: Solve for x
   x = 6,766,049,536/38,820
6. Step 6: Final answer
   x = 174,292.88