Finding the Third Proportional to 33,202 and 72,200

Step by Step Solution

1. Step 1: Write the proportion equation
   33,202 : 72,200 = 72,200 : x
2. Step 2: Convert to fraction form
   33,202/72,200 = 72,200/x
3. Step 3: Cross multiply
   33,202x = 72,200 × 72,200
4. Step 4: Simplify right side
   33,202x = 5,212,840,000
5. Step 5: Solve for x
   x = 5,212,840,000/33,202
6. Step 6: Final answer
   x = 157,003.79