Finding the Third Proportional to 30,672 and 68,256

Step by Step Solution

1. Step 1: Write the proportion equation
   30,672 : 68,256 = 68,256 : x
2. Step 2: Convert to fraction form
   30,672/68,256 = 68,256/x
3. Step 3: Cross multiply
   30,672x = 68,256 × 68,256
4. Step 4: Simplify right side
   30,672x = 4,658,881,536
5. Step 5: Solve for x
   x = 4,658,881,536/30,672
6. Step 6: Final answer
   x = 151,893.63