Finding the Third Proportional to 11,878 and 25,659

Step by Step Solution

1. Step 1: Write the proportion equation
   11,878 : 25,659 = 25,659 : x
2. Step 2: Convert to fraction form
   11,878/25,659 = 25,659/x
3. Step 3: Cross multiply
   11,878x = 25,659 × 25,659
4. Step 4: Simplify right side
   11,878x = 658,384,281
5. Step 5: Solve for x
   x = 658,384,281/11,878
6. Step 6: Final answer
   x = 55,428.88