Finding the Third Proportional to 14,508 and 23,256

Step by Step Solution

1. Step 1: Write the proportion equation
   14,508 : 23,256 = 23,256 : x
2. Step 2: Convert to fraction form
   14,508/23,256 = 23,256/x
3. Step 3: Cross multiply
   14,508x = 23,256 × 23,256
4. Step 4: Simplify right side
   14,508x = 540,841,536
5. Step 5: Solve for x
   x = 540,841,536/14,508
6. Step 6: Final answer
   x = 37,278.85