Finding the Third Proportional to 14,256 and 34,344

Step by Step Solution

1. Step 1: Write the proportion equation
   14,256 : 34,344 = 34,344 : x
2. Step 2: Convert to fraction form
   14,256/34,344 = 34,344/x
3. Step 3: Cross multiply
   14,256x = 34,344 × 34,344
4. Step 4: Simplify right side
   14,256x = 1,179,510,336
5. Step 5: Solve for x
   x = 1,179,510,336/14,256
6. Step 6: Final answer
   x = 82,737.82