Finding the Third Proportional to 1,693.41 and 4,078.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,693.41 : 4,078.69 = 4,078.69 : x
2. Step 2: Convert to fraction form
   1,693.41/4,078.69 = 4,078.69/x
3. Step 3: Cross multiply
   1,693.41x = 4,078.69 × 4,078.69
4. Step 4: Simplify right side
   1,693.41x = 16,635,691.72
5. Step 5: Solve for x
   x = 16,635,691.72/1,693.41
6. Step 6: Final answer
   x = 9,823.80