Finding the Third Proportional to 917 and 2,162.38

Step by Step Solution

1. Step 1: Write the proportion equation
   917 : 2,162.38 = 2,162.38 : x
2. Step 2: Convert to fraction form
   917/2,162.38 = 2,162.38/x
3. Step 3: Cross multiply
   917x = 2,162.38 × 2,162.38
4. Step 4: Simplify right side
   917x = 4,675,865.64
5. Step 5: Solve for x
   x = 4,675,865.64/917
6. Step 6: Final answer
   x = 5,099.09