Finding the Third Proportional to 25,644 and 55,389

Step by Step Solution

1. Step 1: Write the proportion equation
   25,644 : 55,389 = 55,389 : x
2. Step 2: Convert to fraction form
   25,644/55,389 = 55,389/x
3. Step 3: Cross multiply
   25,644x = 55,389 × 55,389
4. Step 4: Simplify right side
   25,644x = 3,067,941,321
5. Step 5: Solve for x
   x = 3,067,941,321/25,644
6. Step 6: Final answer
   x = 119,635.83