Finding the Third Proportional to 32,974 and 71,418

Step by Step Solution

1. Step 1: Write the proportion equation
   32,974 : 71,418 = 71,418 : x
2. Step 2: Convert to fraction form
   32,974/71,418 = 71,418/x
3. Step 3: Cross multiply
   32,974x = 71,418 × 71,418
4. Step 4: Simplify right side
   32,974x = 5,100,530,724
5. Step 5: Solve for x
   x = 5,100,530,724/32,974
6. Step 6: Final answer
   x = 154,683.41