Finding the Third Proportional to 23,137 and 49,782

Step by Step Solution

1. Step 1: Write the proportion equation
   23,137 : 49,782 = 49,782 : x
2. Step 2: Convert to fraction form
   23,137/49,782 = 49,782/x
3. Step 3: Cross multiply
   23,137x = 49,782 × 49,782
4. Step 4: Simplify right side
   23,137x = 2,478,247,524
5. Step 5: Solve for x
   x = 2,478,247,524/23,137
6. Step 6: Final answer
   x = 107,111.88