Finding the Third Proportional to 9,790 and 15,116

Step by Step Solution

1. Step 1: Write the proportion equation
   9,790 : 15,116 = 15,116 : x
2. Step 2: Convert to fraction form
   9,790/15,116 = 15,116/x
3. Step 3: Cross multiply
   9,790x = 15,116 × 15,116
4. Step 4: Simplify right side
   9,790x = 228,493,456
5. Step 5: Solve for x
   x = 228,493,456/9,790
6. Step 6: Final answer
   x = 23,339.47