Finding the Third Proportional to 4,864 and 9,116

Step by Step Solution

1. Step 1: Write the proportion equation
   4,864 : 9,116 = 9,116 : x
2. Step 2: Convert to fraction form
   4,864/9,116 = 9,116/x
3. Step 3: Cross multiply
   4,864x = 9,116 × 9,116
4. Step 4: Simplify right side
   4,864x = 83,101,456
5. Step 5: Solve for x
   x = 83,101,456/4,864
6. Step 6: Final answer
   x = 17,085.00