Finding the Third Proportional to 32,384 and 70,144

Step by Step Solution

1. Step 1: Write the proportion equation
   32,384 : 70,144 = 70,144 : x
2. Step 2: Convert to fraction form
   32,384/70,144 = 70,144/x
3. Step 3: Cross multiply
   32,384x = 70,144 × 70,144
4. Step 4: Simplify right side
   32,384x = 4,920,180,736
5. Step 5: Solve for x
   x = 4,920,180,736/32,384
6. Step 6: Final answer
   x = 151,932.46