Finding the Third Proportional to 35,325 and 72,270

Step by Step Solution

1. Step 1: Write the proportion equation
   35,325 : 72,270 = 72,270 : x
2. Step 2: Convert to fraction form
   35,325/72,270 = 72,270/x
3. Step 3: Cross multiply
   35,325x = 72,270 × 72,270
4. Step 4: Simplify right side
   35,325x = 5,222,952,900
5. Step 5: Solve for x
   x = 5,222,952,900/35,325
6. Step 6: Final answer
   x = 147,854.29