Finding the Third Proportional to 8,078 and 17,749

Step by Step Solution

1. Step 1: Write the proportion equation
   8,078 : 17,749 = 17,749 : x
2. Step 2: Convert to fraction form
   8,078/17,749 = 17,749/x
3. Step 3: Cross multiply
   8,078x = 17,749 × 17,749
4. Step 4: Simplify right side
   8,078x = 315,027,001
5. Step 5: Solve for x
   x = 315,027,001/8,078
6. Step 6: Final answer
   x = 38,998.14