Finding the Third Proportional to 32,801 and 70,270

Step by Step Solution

1. Step 1: Write the proportion equation
   32,801 : 70,270 = 70,270 : x
2. Step 2: Convert to fraction form
   32,801/70,270 = 70,270/x
3. Step 3: Cross multiply
   32,801x = 70,270 × 70,270
4. Step 4: Simplify right side
   32,801x = 4,937,872,900
5. Step 5: Solve for x
   x = 4,937,872,900/32,801
6. Step 6: Final answer
   x = 150,540.32