Finding the Third Proportional to 25,814 and 54,730

Step by Step Solution

1. Step 1: Write the proportion equation
   25,814 : 54,730 = 54,730 : x
2. Step 2: Convert to fraction form
   25,814/54,730 = 54,730/x
3. Step 3: Cross multiply
   25,814x = 54,730 × 54,730
4. Step 4: Simplify right side
   25,814x = 2,995,372,900
5. Step 5: Solve for x
   x = 2,995,372,900/25,814
6. Step 6: Final answer
   x = 116,036.76