Finding the Third Proportional to 34,103 and 74,398

Step by Step Solution

1. Step 1: Write the proportion equation
   34,103 : 74,398 = 74,398 : x
2. Step 2: Convert to fraction form
   34,103/74,398 = 74,398/x
3. Step 3: Cross multiply
   34,103x = 74,398 × 74,398
4. Step 4: Simplify right side
   34,103x = 5,535,062,404
5. Step 5: Solve for x
   x = 5,535,062,404/34,103
6. Step 6: Final answer
   x = 162,304.27