Finding the Third Proportional to 32,823 and 71,874

Step by Step Solution

1. Step 1: Write the proportion equation
   32,823 : 71,874 = 71,874 : x
2. Step 2: Convert to fraction form
   32,823/71,874 = 71,874/x
3. Step 3: Cross multiply
   32,823x = 71,874 × 71,874
4. Step 4: Simplify right side
   32,823x = 5,165,871,876
5. Step 5: Solve for x
   x = 5,165,871,876/32,823
6. Step 6: Final answer
   x = 157,385.73