Finding the Third Proportional to 2,140 and 3,196

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140 : 3,196 = 3,196 : x
2. Step 2: Convert to fraction form
   2,140/3,196 = 3,196/x
3. Step 3: Cross multiply
   2,140x = 3,196 × 3,196
4. Step 4: Simplify right side
   2,140x = 10,214,416
5. Step 5: Solve for x
   x = 10,214,416/2,140
6. Step 6: Final answer
   x = 4,773.09