Finding the Third Proportional to 10,118 and 15,834

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118 : 15,834 = 15,834 : x
2. Step 2: Convert to fraction form
   10,118/15,834 = 15,834/x
3. Step 3: Cross multiply
   10,118x = 15,834 × 15,834
4. Step 4: Simplify right side
   10,118x = 250,715,556
5. Step 5: Solve for x
   x = 250,715,556/10,118
6. Step 6: Final answer
   x = 24,779.16