Finding the Third Proportional to 32,448 and 70,496

Step by Step Solution

1. Step 1: Write the proportion equation
   32,448 : 70,496 = 70,496 : x
2. Step 2: Convert to fraction form
   32,448/70,496 = 70,496/x
3. Step 3: Cross multiply
   32,448x = 70,496 × 70,496
4. Step 4: Simplify right side
   32,448x = 4,969,686,016
5. Step 5: Solve for x
   x = 4,969,686,016/32,448
6. Step 6: Final answer
   x = 153,158.47