Finding the Third Proportional to 1,347.75 and 2,082.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,347.75 : 2,082.09 = 2,082.09 : x
2. Step 2: Convert to fraction form
   1,347.75/2,082.09 = 2,082.09/x
3. Step 3: Cross multiply
   1,347.75x = 2,082.09 × 2,082.09
4. Step 4: Simplify right side
   1,347.75x = 4,335,114.38
5. Step 5: Solve for x
   x = 4,335,114.38/1,347.75
6. Step 6: Final answer
   x = 3,216.56