Finding the Third Proportional to 1,677.27 and 3,609.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,677.27 : 3,609.40 = 3,609.40 : x
2. Step 2: Convert to fraction form
   1,677.27/3,609.40 = 3,609.40/x
3. Step 3: Cross multiply
   1,677.27x = 3,609.40 × 3,609.40
4. Step 4: Simplify right side
   1,677.27x = 13,027,799.38
5. Step 5: Solve for x
   x = 13,027,799.38/1,677.27
6. Step 6: Final answer
   x = 7,767.27