Finding the Third Proportional to 23,164 and 47,965

Step by Step Solution

1. Step 1: Write the proportion equation
   23,164 : 47,965 = 47,965 : x
2. Step 2: Convert to fraction form
   23,164/47,965 = 47,965/x
3. Step 3: Cross multiply
   23,164x = 47,965 × 47,965
4. Step 4: Simplify right side
   23,164x = 2,300,641,225
5. Step 5: Solve for x
   x = 2,300,641,225/23,164
6. Step 6: Final answer
   x = 99,319.69