Finding the Third Proportional to 33,290 and 71,500

Step by Step Solution

1. Step 1: Write the proportion equation
   33,290 : 71,500 = 71,500 : x
2. Step 2: Convert to fraction form
   33,290/71,500 = 71,500/x
3. Step 3: Cross multiply
   33,290x = 71,500 × 71,500
4. Step 4: Simplify right side
   33,290x = 5,112,250,000
5. Step 5: Solve for x
   x = 5,112,250,000/33,290
6. Step 6: Final answer
   x = 153,567.14