Finding the Third Proportional to 32,884 and 72,320

Step by Step Solution

1. Step 1: Write the proportion equation
   32,884 : 72,320 = 72,320 : x
2. Step 2: Convert to fraction form
   32,884/72,320 = 72,320/x
3. Step 3: Cross multiply
   32,884x = 72,320 × 72,320
4. Step 4: Simplify right side
   32,884x = 5,230,182,400
5. Step 5: Solve for x
   x = 5,230,182,400/32,884
6. Step 6: Final answer
   x = 159,049.46