Finding the Third Proportional to 25,681 and 53,846

Step by Step Solution

1. Step 1: Write the proportion equation
   25,681 : 53,846 = 53,846 : x
2. Step 2: Convert to fraction form
   25,681/53,846 = 53,846/x
3. Step 3: Cross multiply
   25,681x = 53,846 × 53,846
4. Step 4: Simplify right side
   25,681x = 2,899,391,716
5. Step 5: Solve for x
   x = 2,899,391,716/25,681
6. Step 6: Final answer
   x = 112,900.27