Finding the Third Proportional to 23,256 and 35,004

Step by Step Solution

1. Step 1: Write the proportion equation
   23,256 : 35,004 = 35,004 : x
2. Step 2: Convert to fraction form
   23,256/35,004 = 35,004/x
3. Step 3: Cross multiply
   23,256x = 35,004 × 35,004
4. Step 4: Simplify right side
   23,256x = 1,225,280,016
5. Step 5: Solve for x
   x = 1,225,280,016/23,256
6. Step 6: Final answer
   x = 52,686.62