Finding the Third Proportional to 23,724 and 49,320

Step by Step Solution

1. Step 1: Write the proportion equation
   23,724 : 49,320 = 49,320 : x
2. Step 2: Convert to fraction form
   23,724/49,320 = 49,320/x
3. Step 3: Cross multiply
   23,724x = 49,320 × 49,320
4. Step 4: Simplify right side
   23,724x = 2,432,462,400
5. Step 5: Solve for x
   x = 2,432,462,400/23,724
6. Step 6: Final answer
   x = 102,531.71