Finding the Third Proportional to 32,805 and 72,171

Step by Step Solution

1. Step 1: Write the proportion equation
   32,805 : 72,171 = 72,171 : x
2. Step 2: Convert to fraction form
   32,805/72,171 = 72,171/x
3. Step 3: Cross multiply
   32,805x = 72,171 × 72,171
4. Step 4: Simplify right side
   32,805x = 5,208,653,241
5. Step 5: Solve for x
   x = 5,208,653,241/32,805
6. Step 6: Final answer
   x = 158,776.20