Finding the Third Proportional to 23,142 and 49,191

Step by Step Solution

1. Step 1: Write the proportion equation
   23,142 : 49,191 = 49,191 : x
2. Step 2: Convert to fraction form
   23,142/49,191 = 49,191/x
3. Step 3: Cross multiply
   23,142x = 49,191 × 49,191
4. Step 4: Simplify right side
   23,142x = 2,419,754,481
5. Step 5: Solve for x
   x = 2,419,754,481/23,142
6. Step 6: Final answer
   x = 104,561.17