Finding the Third Proportional to 23,314 and 49,832

Step by Step Solution

1. Step 1: Write the proportion equation
   23,314 : 49,832 = 49,832 : x
2. Step 2: Convert to fraction form
   23,314/49,832 = 49,832/x
3. Step 3: Cross multiply
   23,314x = 49,832 × 49,832
4. Step 4: Simplify right side
   23,314x = 2,483,228,224
5. Step 5: Solve for x
   x = 2,483,228,224/23,314
6. Step 6: Final answer
   x = 106,512.32