Finding the Third Proportional to 5,109.75 and 5,916.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.75 : 5,916.38 = 5,916.38 : x
2. Step 2: Convert to fraction form
   5,109.75/5,916.38 = 5,916.38/x
3. Step 3: Cross multiply
   5,109.75x = 5,916.38 × 5,916.38
4. Step 4: Simplify right side
   5,109.75x = 35,003,493.14
5. Step 5: Solve for x
   x = 35,003,493.14/5,109.75
6. Step 6: Final answer
   x = 6,850.33