Finding the Third Proportional to 8,098 and 17,789

Step by Step Solution

1. Step 1: Write the proportion equation
   8,098 : 17,789 = 17,789 : x
2. Step 2: Convert to fraction form
   8,098/17,789 = 17,789/x
3. Step 3: Cross multiply
   8,098x = 17,789 × 17,789
4. Step 4: Simplify right side
   8,098x = 316,448,521
5. Step 5: Solve for x
   x = 316,448,521/8,098
6. Step 6: Final answer
   x = 39,077.37