Finding the Third Proportional to 11,823 and 25,716

Step by Step Solution

1. Step 1: Write the proportion equation
   11,823 : 25,716 = 25,716 : x
2. Step 2: Convert to fraction form
   11,823/25,716 = 25,716/x
3. Step 3: Cross multiply
   11,823x = 25,716 × 25,716
4. Step 4: Simplify right side
   11,823x = 661,312,656
5. Step 5: Solve for x
   x = 661,312,656/11,823
6. Step 6: Final answer
   x = 55,934.42