Finding the Third Proportional to 23,826 and 53,724

Step by Step Solution

1. Step 1: Write the proportion equation
   23,826 : 53,724 = 53,724 : x
2. Step 2: Convert to fraction form
   23,826/53,724 = 53,724/x
3. Step 3: Cross multiply
   23,826x = 53,724 × 53,724
4. Step 4: Simplify right side
   23,826x = 2,886,268,176
5. Step 5: Solve for x
   x = 2,886,268,176/23,826
6. Step 6: Final answer
   x = 121,139.43