Finding the Third Proportional to 11,806 and 25,878

Step by Step Solution

1. Step 1: Write the proportion equation
   11,806 : 25,878 = 25,878 : x
2. Step 2: Convert to fraction form
   11,806/25,878 = 25,878/x
3. Step 3: Cross multiply
   11,806x = 25,878 × 25,878
4. Step 4: Simplify right side
   11,806x = 669,670,884
5. Step 5: Solve for x
   x = 669,670,884/11,806
6. Step 6: Final answer
   x = 56,722.93