Finding the Third Proportional to 23,141 and 49,567

Step by Step Solution

1. Step 1: Write the proportion equation
   23,141 : 49,567 = 49,567 : x
2. Step 2: Convert to fraction form
   23,141/49,567 = 49,567/x
3. Step 3: Cross multiply
   23,141x = 49,567 × 49,567
4. Step 4: Simplify right side
   23,141x = 2,456,887,489
5. Step 5: Solve for x
   x = 2,456,887,489/23,141
6. Step 6: Final answer
   x = 106,170.32