Finding the Third Proportional to 10,580 and 16,238

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580 : 16,238 = 16,238 : x
2. Step 2: Convert to fraction form
   10,580/16,238 = 16,238/x
3. Step 3: Cross multiply
   10,580x = 16,238 × 16,238
4. Step 4: Simplify right side
   10,580x = 263,672,644
5. Step 5: Solve for x
   x = 263,672,644/10,580
6. Step 6: Final answer
   x = 24,921.80