Finding the Third Proportional to 3,135 and 4,196.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,135 : 4,196.06 = 4,196.06 : x
2. Step 2: Convert to fraction form
   3,135/4,196.06 = 4,196.06/x
3. Step 3: Cross multiply
   3,135x = 4,196.06 × 4,196.06
4. Step 4: Simplify right side
   3,135x = 17,606,940.50
5. Step 5: Solve for x
   x = 17,606,940.50/3,135
6. Step 6: Final answer
   x = 5,616.25