Finding the Third Proportional to 2,080 and 3,156

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080 : 3,156 = 3,156 : x
2. Step 2: Convert to fraction form
   2,080/3,156 = 3,156/x
3. Step 3: Cross multiply
   2,080x = 3,156 × 3,156
4. Step 4: Simplify right side
   2,080x = 9,960,336
5. Step 5: Solve for x
   x = 9,960,336/2,080
6. Step 6: Final answer
   x = 4,788.62