Finding the Third Proportional to 47,952 and 72,597

Step by Step Solution

1. Step 1: Write the proportion equation
   47,952 : 72,597 = 72,597 : x
2. Step 2: Convert to fraction form
   47,952/72,597 = 72,597/x
3. Step 3: Cross multiply
   47,952x = 72,597 × 72,597
4. Step 4: Simplify right side
   47,952x = 5,270,324,409
5. Step 5: Solve for x
   x = 5,270,324,409/47,952
6. Step 6: Final answer
   x = 109,908.33