Finding the Third Proportional to 32,256 and 71,424

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 71,424 = 71,424 : x
2. Step 2: Convert to fraction form
   32,256/71,424 = 71,424/x
3. Step 3: Cross multiply
   32,256x = 71,424 × 71,424
4. Step 4: Simplify right side
   32,256x = 5,101,387,776
5. Step 5: Solve for x
   x = 5,101,387,776/32,256
6. Step 6: Final answer
   x = 158,153.14