Finding the Third Proportional to 32,874 and 71,886

Step by Step Solution

1. Step 1: Write the proportion equation
   32,874 : 71,886 = 71,886 : x
2. Step 2: Convert to fraction form
   32,874/71,886 = 71,886/x
3. Step 3: Cross multiply
   32,874x = 71,886 × 71,886
4. Step 4: Simplify right side
   32,874x = 5,167,596,996
5. Step 5: Solve for x
   x = 5,167,596,996/32,874
6. Step 6: Final answer
   x = 157,194.04