Finding the Third Proportional to 10,048 and 18,592

Step by Step Solution

1. Step 1: Write the proportion equation
   10,048 : 18,592 = 18,592 : x
2. Step 2: Convert to fraction form
   10,048/18,592 = 18,592/x
3. Step 3: Cross multiply
   10,048x = 18,592 × 18,592
4. Step 4: Simplify right side
   10,048x = 345,662,464
5. Step 5: Solve for x
   x = 345,662,464/10,048
6. Step 6: Final answer
   x = 34,401.12