Finding the Third Proportional to 10,638 and 25,092

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638 : 25,092 = 25,092 : x
2. Step 2: Convert to fraction form
   10,638/25,092 = 25,092/x
3. Step 3: Cross multiply
   10,638x = 25,092 × 25,092
4. Step 4: Simplify right side
   10,638x = 629,608,464
5. Step 5: Solve for x
   x = 629,608,464/10,638
6. Step 6: Final answer
   x = 59,184.85