Finding the Third Proportional to 11,686 and 25,100

Step by Step Solution

1. Step 1: Write the proportion equation
   11,686 : 25,100 = 25,100 : x
2. Step 2: Convert to fraction form
   11,686/25,100 = 25,100/x
3. Step 3: Cross multiply
   11,686x = 25,100 × 25,100
4. Step 4: Simplify right side
   11,686x = 630,010,000
5. Step 5: Solve for x
   x = 630,010,000/11,686
6. Step 6: Final answer
   x = 53,911.52