Finding the Third Proportional to 34,418 and 74,626

Step by Step Solution

1. Step 1: Write the proportion equation
   34,418 : 74,626 = 74,626 : x
2. Step 2: Convert to fraction form
   34,418/74,626 = 74,626/x
3. Step 3: Cross multiply
   34,418x = 74,626 × 74,626
4. Step 4: Simplify right side
   34,418x = 5,569,039,876
5. Step 5: Solve for x
   x = 5,569,039,876/34,418
6. Step 6: Final answer
   x = 161,806.03