Finding the Third Proportional to 38,256 and 81,150

Step by Step Solution

1. Step 1: Write the proportion equation
   38,256 : 81,150 = 81,150 : x
2. Step 2: Convert to fraction form
   38,256/81,150 = 81,150/x
3. Step 3: Cross multiply
   38,256x = 81,150 × 81,150
4. Step 4: Simplify right side
   38,256x = 6,585,322,500
5. Step 5: Solve for x
   x = 6,585,322,500/38,256
6. Step 6: Final answer
   x = 172,138.29