Finding the Third Proportional to 32,649 and 70,644

Step by Step Solution

1. Step 1: Write the proportion equation
   32,649 : 70,644 = 70,644 : x
2. Step 2: Convert to fraction form
   32,649/70,644 = 70,644/x
3. Step 3: Cross multiply
   32,649x = 70,644 × 70,644
4. Step 4: Simplify right side
   32,649x = 4,990,574,736
5. Step 5: Solve for x
   x = 4,990,574,736/32,649
6. Step 6: Final answer
   x = 152,855.36