Finding the Third Proportional to 32,923 and 72,965

Step by Step Solution

1. Step 1: Write the proportion equation
   32,923 : 72,965 = 72,965 : x
2. Step 2: Convert to fraction form
   32,923/72,965 = 72,965/x
3. Step 3: Cross multiply
   32,923x = 72,965 × 72,965
4. Step 4: Simplify right side
   32,923x = 5,323,891,225
5. Step 5: Solve for x
   x = 5,323,891,225/32,923
6. Step 6: Final answer
   x = 161,707.35