Finding the Third Proportional to 1,663.88 and 3,609.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,663.88 : 3,609.38 = 3,609.38 : x
2. Step 2: Convert to fraction form
   1,663.88/3,609.38 = 3,609.38/x
3. Step 3: Cross multiply
   1,663.88x = 3,609.38 × 3,609.38
4. Step 4: Simplify right side
   1,663.88x = 13,027,587.89
5. Step 5: Solve for x
   x = 13,027,587.89/1,663.88
6. Step 6: Final answer
   x = 7,829.67