Finding the Third Proportional to 33,988 and 72,626

Step by Step Solution

1. Step 1: Write the proportion equation
   33,988 : 72,626 = 72,626 : x
2. Step 2: Convert to fraction form
   33,988/72,626 = 72,626/x
3. Step 3: Cross multiply
   33,988x = 72,626 × 72,626
4. Step 4: Simplify right side
   33,988x = 5,274,535,876
5. Step 5: Solve for x
   x = 5,274,535,876/33,988
6. Step 6: Final answer
   x = 155,188.18