Finding the Third Proportional to 2,092.13 and 3,209.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.13 : 3,209.06 = 3,209.06 : x
2. Step 2: Convert to fraction form
   2,092.13/3,209.06 = 3,209.06/x
3. Step 3: Cross multiply
   2,092.13x = 3,209.06 × 3,209.06
4. Step 4: Simplify right side
   2,092.13x = 10,298,082.13
5. Step 5: Solve for x
   x = 10,298,082.13/2,092.13
6. Step 6: Final answer
   x = 4,922.31