Finding the Third Proportional to 25,460 and 54,686

Step by Step Solution

1. Step 1: Write the proportion equation
   25,460 : 54,686 = 54,686 : x
2. Step 2: Convert to fraction form
   25,460/54,686 = 54,686/x
3. Step 3: Cross multiply
   25,460x = 54,686 × 54,686
4. Step 4: Simplify right side
   25,460x = 2,990,558,596
5. Step 5: Solve for x
   x = 2,990,558,596/25,460
6. Step 6: Final answer
   x = 117,461.06