Finding the Third Proportional to 11,641 and 25,142

Step by Step Solution

1. Step 1: Write the proportion equation
   11,641 : 25,142 = 25,142 : x
2. Step 2: Convert to fraction form
   11,641/25,142 = 25,142/x
3. Step 3: Cross multiply
   11,641x = 25,142 × 25,142
4. Step 4: Simplify right side
   11,641x = 632,120,164
5. Step 5: Solve for x
   x = 632,120,164/11,641
6. Step 6: Final answer
   x = 54,301.19