Finding the Third Proportional to 32,926 and 71,171

Step by Step Solution

1. Step 1: Write the proportion equation
   32,926 : 71,171 = 71,171 : x
2. Step 2: Convert to fraction form
   32,926/71,171 = 71,171/x
3. Step 3: Cross multiply
   32,926x = 71,171 × 71,171
4. Step 4: Simplify right side
   32,926x = 5,065,311,241
5. Step 5: Solve for x
   x = 5,065,311,241/32,926
6. Step 6: Final answer
   x = 153,839.25