Finding the Third Proportional to 1,789.88 and 4,116.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,789.88 : 4,116.94 = 4,116.94 : x
2. Step 2: Convert to fraction form
   1,789.88/4,116.94 = 4,116.94/x
3. Step 3: Cross multiply
   1,789.88x = 4,116.94 × 4,116.94
4. Step 4: Simplify right side
   1,789.88x = 16,949,174.38
5. Step 5: Solve for x
   x = 16,949,174.38/1,789.88
6. Step 6: Final answer
   x = 9,469.47