Finding the Third Proportional to 1,704.38 and 4,164.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,704.38 : 4,164.75 = 4,164.75 : x
2. Step 2: Convert to fraction form
   1,704.38/4,164.75 = 4,164.75/x
3. Step 3: Cross multiply
   1,704.38x = 4,164.75 × 4,164.75
4. Step 4: Simplify right side
   1,704.38x = 17,345,142.56
5. Step 5: Solve for x
   x = 17,345,142.56/1,704.38
6. Step 6: Final answer
   x = 10,176.83