Finding the Third Proportional to 23,164 and 47,146

Step by Step Solution

1. Step 1: Write the proportion equation
   23,164 : 47,146 = 47,146 : x
2. Step 2: Convert to fraction form
   23,164/47,146 = 47,146/x
3. Step 3: Cross multiply
   23,164x = 47,146 × 47,146
4. Step 4: Simplify right side
   23,164x = 2,222,745,316
5. Step 5: Solve for x
   x = 2,222,745,316/23,164
6. Step 6: Final answer
   x = 95,956.89