Finding the Third Proportional to 33,741 and 72,671

Step by Step Solution

1. Step 1: Write the proportion equation
   33,741 : 72,671 = 72,671 : x
2. Step 2: Convert to fraction form
   33,741/72,671 = 72,671/x
3. Step 3: Cross multiply
   33,741x = 72,671 × 72,671
4. Step 4: Simplify right side
   33,741x = 5,281,074,241
5. Step 5: Solve for x
   x = 5,281,074,241/33,741
6. Step 6: Final answer
   x = 156,518.01