Finding the Third Proportional to 11,681 and 25,345

Step by Step Solution

1. Step 1: Write the proportion equation
   11,681 : 25,345 = 25,345 : x
2. Step 2: Convert to fraction form
   11,681/25,345 = 25,345/x
3. Step 3: Cross multiply
   11,681x = 25,345 × 25,345
4. Step 4: Simplify right side
   11,681x = 642,369,025
5. Step 5: Solve for x
   x = 642,369,025/11,681
6. Step 6: Final answer
   x = 54,992.64