Finding the Third Proportional to 2,084 and 3,254

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084 : 3,254 = 3,254 : x
2. Step 2: Convert to fraction form
   2,084/3,254 = 3,254/x
3. Step 3: Cross multiply
   2,084x = 3,254 × 3,254
4. Step 4: Simplify right side
   2,084x = 10,588,516
5. Step 5: Solve for x
   x = 10,588,516/2,084
6. Step 6: Final answer
   x = 5,080.86