Finding the Third Proportional to 2,165.50 and 4,196

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.50 : 4,196 = 4,196 : x
2. Step 2: Convert to fraction form
   2,165.50/4,196 = 4,196/x
3. Step 3: Cross multiply
   2,165.50x = 4,196 × 4,196
4. Step 4: Simplify right side
   2,165.50x = 17,606,416
5. Step 5: Solve for x
   x = 17,606,416/2,165.50
6. Step 6: Final answer
   x = 8,130.42