Finding the Third Proportional to 5,767 and 10,097

Step by Step Solution

1. Step 1: Write the proportion equation
   5,767 : 10,097 = 10,097 : x
2. Step 2: Convert to fraction form
   5,767/10,097 = 10,097/x
3. Step 3: Cross multiply
   5,767x = 10,097 × 10,097
4. Step 4: Simplify right side
   5,767x = 101,949,409
5. Step 5: Solve for x
   x = 101,949,409/5,767
6. Step 6: Final answer
   x = 17,678.07