Finding the Third Proportional to 10,244 and 16,486

Step by Step Solution

1. Step 1: Write the proportion equation
   10,244 : 16,486 = 16,486 : x
2. Step 2: Convert to fraction form
   10,244/16,486 = 16,486/x
3. Step 3: Cross multiply
   10,244x = 16,486 × 16,486
4. Step 4: Simplify right side
   10,244x = 271,788,196
5. Step 5: Solve for x
   x = 271,788,196/10,244
6. Step 6: Final answer
   x = 26,531.45