Finding the Third Proportional to 33,012 and 71,190

Step by Step Solution

1. Step 1: Write the proportion equation
   33,012 : 71,190 = 71,190 : x
2. Step 2: Convert to fraction form
   33,012/71,190 = 71,190/x
3. Step 3: Cross multiply
   33,012x = 71,190 × 71,190
4. Step 4: Simplify right side
   33,012x = 5,068,016,100
5. Step 5: Solve for x
   x = 5,068,016,100/33,012
6. Step 6: Final answer
   x = 153,520.42