Finding the Third Proportional to 36,256 and 76,800

Step by Step Solution

1. Step 1: Write the proportion equation
   36,256 : 76,800 = 76,800 : x
2. Step 2: Convert to fraction form
   36,256/76,800 = 76,800/x
3. Step 3: Cross multiply
   36,256x = 76,800 × 76,800
4. Step 4: Simplify right side
   36,256x = 5,898,240,000
5. Step 5: Solve for x
   x = 5,898,240,000/36,256
6. Step 6: Final answer
   x = 162,683.14