Finding the Third Proportional to 10,140 and 16,826

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140 : 16,826 = 16,826 : x
2. Step 2: Convert to fraction form
   10,140/16,826 = 16,826/x
3. Step 3: Cross multiply
   10,140x = 16,826 × 16,826
4. Step 4: Simplify right side
   10,140x = 283,114,276
5. Step 5: Solve for x
   x = 283,114,276/10,140
6. Step 6: Final answer
   x = 27,920.54