Finding the Third Proportional to 31,598 and 68,256

Step by Step Solution

1. Step 1: Write the proportion equation
   31,598 : 68,256 = 68,256 : x
2. Step 2: Convert to fraction form
   31,598/68,256 = 68,256/x
3. Step 3: Cross multiply
   31,598x = 68,256 × 68,256
4. Step 4: Simplify right side
   31,598x = 4,658,881,536
5. Step 5: Solve for x
   x = 4,658,881,536/31,598
6. Step 6: Final answer
   x = 147,442.29