Finding the Third Proportional to 2,109.16 and 3,145.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.16 : 3,145.39 = 3,145.39 : x
2. Step 2: Convert to fraction form
   2,109.16/3,145.39 = 3,145.39/x
3. Step 3: Cross multiply
   2,109.16x = 3,145.39 × 3,145.39
4. Step 4: Simplify right side
   2,109.16x = 9,893,506.76
5. Step 5: Solve for x
   x = 9,893,506.76/2,109.16
6. Step 6: Final answer
   x = 4,690.72