Finding the Third Proportional to 32,368 and 72,267

Step by Step Solution

1. Step 1: Write the proportion equation
   32,368 : 72,267 = 72,267 : x
2. Step 2: Convert to fraction form
   32,368/72,267 = 72,267/x
3. Step 3: Cross multiply
   32,368x = 72,267 × 72,267
4. Step 4: Simplify right side
   32,368x = 5,222,519,289
5. Step 5: Solve for x
   x = 5,222,519,289/32,368
6. Step 6: Final answer
   x = 161,348.22