Finding the Third Proportional to 32,256 and 68,426

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 68,426 = 68,426 : x
2. Step 2: Convert to fraction form
   32,256/68,426 = 68,426/x
3. Step 3: Cross multiply
   32,256x = 68,426 × 68,426
4. Step 4: Simplify right side
   32,256x = 4,682,117,476
5. Step 5: Solve for x
   x = 4,682,117,476/32,256
6. Step 6: Final answer
   x = 145,154.93