Finding the Third Proportional to 33,029 and 71,890

Step by Step Solution

1. Step 1: Write the proportion equation
   33,029 : 71,890 = 71,890 : x
2. Step 2: Convert to fraction form
   33,029/71,890 = 71,890/x
3. Step 3: Cross multiply
   33,029x = 71,890 × 71,890
4. Step 4: Simplify right side
   33,029x = 5,168,172,100
5. Step 5: Solve for x
   x = 5,168,172,100/33,029
6. Step 6: Final answer
   x = 156,473.77