Finding the Third Proportional to 1,920.38 and 3,477.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,920.38 : 3,477.94 = 3,477.94 : x
2. Step 2: Convert to fraction form
   1,920.38/3,477.94 = 3,477.94/x
3. Step 3: Cross multiply
   1,920.38x = 3,477.94 × 3,477.94
4. Step 4: Simplify right side
   1,920.38x = 12,096,049.25
5. Step 5: Solve for x
   x = 12,096,049.25/1,920.38
6. Step 6: Final answer
   x = 6,298.80