Finding the Third Proportional to 23,256 and 35,676

Step by Step Solution

1. Step 1: Write the proportion equation
   23,256 : 35,676 = 35,676 : x
2. Step 2: Convert to fraction form
   23,256/35,676 = 35,676/x
3. Step 3: Cross multiply
   23,256x = 35,676 × 35,676
4. Step 4: Simplify right side
   23,256x = 1,272,776,976
5. Step 5: Solve for x
   x = 1,272,776,976/23,256
6. Step 6: Final answer
   x = 54,728.97