Finding the Third Proportional to 10,586 and 25,080

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586 : 25,080 = 25,080 : x
2. Step 2: Convert to fraction form
   10,586/25,080 = 25,080/x
3. Step 3: Cross multiply
   10,586x = 25,080 × 25,080
4. Step 4: Simplify right side
   10,586x = 629,006,400
5. Step 5: Solve for x
   x = 629,006,400/10,586
6. Step 6: Final answer
   x = 59,418.70