Finding the Third Proportional to 25,656 and 54,588

Step by Step Solution

1. Step 1: Write the proportion equation
   25,656 : 54,588 = 54,588 : x
2. Step 2: Convert to fraction form
   25,656/54,588 = 54,588/x
3. Step 3: Cross multiply
   25,656x = 54,588 × 54,588
4. Step 4: Simplify right side
   25,656x = 2,979,849,744
5. Step 5: Solve for x
   x = 2,979,849,744/25,656
6. Step 6: Final answer
   x = 116,146.31