Finding the Third Proportional to 32,801 and 71,758

Step by Step Solution

1. Step 1: Write the proportion equation
   32,801 : 71,758 = 71,758 : x
2. Step 2: Convert to fraction form
   32,801/71,758 = 71,758/x
3. Step 3: Cross multiply
   32,801x = 71,758 × 71,758
4. Step 4: Simplify right side
   32,801x = 5,149,210,564
5. Step 5: Solve for x
   x = 5,149,210,564/32,801
6. Step 6: Final answer
   x = 156,983.34