Finding the Third Proportional to 1,678.38 and 3,599.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.38 : 3,599.63 = 3,599.63 : x
2. Step 2: Convert to fraction form
   1,678.38/3,599.63 = 3,599.63/x
3. Step 3: Cross multiply
   1,678.38x = 3,599.63 × 3,599.63
4. Step 4: Simplify right side
   1,678.38x = 12,957,300.14
5. Step 5: Solve for x
   x = 12,957,300.14/1,678.38
6. Step 6: Final answer
   x = 7,720.15