Finding the Third Proportional to 10,005 and 12,798

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005 : 12,798 = 12,798 : x
2. Step 2: Convert to fraction form
   10,005/12,798 = 12,798/x
3. Step 3: Cross multiply
   10,005x = 12,798 × 12,798
4. Step 4: Simplify right side
   10,005x = 163,788,804
5. Step 5: Solve for x
   x = 163,788,804/10,005
6. Step 6: Final answer
   x = 16,370.70