Finding the Third Proportional to 32,974 and 72,512

Step by Step Solution

1. Step 1: Write the proportion equation
   32,974 : 72,512 = 72,512 : x
2. Step 2: Convert to fraction form
   32,974/72,512 = 72,512/x
3. Step 3: Cross multiply
   32,974x = 72,512 × 72,512
4. Step 4: Simplify right side
   32,974x = 5,257,990,144
5. Step 5: Solve for x
   x = 5,257,990,144/32,974
6. Step 6: Final answer
   x = 159,458.67