Finding the Third Proportional to 5,196 and 5,916

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196 : 5,916 = 5,916 : x
2. Step 2: Convert to fraction form
   5,196/5,916 = 5,916/x
3. Step 3: Cross multiply
   5,196x = 5,916 × 5,916
4. Step 4: Simplify right side
   5,196x = 34,999,056
5. Step 5: Solve for x
   x = 34,999,056/5,196
6. Step 6: Final answer
   x = 6,735.77