Finding the Third Proportional to 1,772.72 and 4,189.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,772.72 : 4,189.78 = 4,189.78 : x
2. Step 2: Convert to fraction form
   1,772.72/4,189.78 = 4,189.78/x
3. Step 3: Cross multiply
   1,772.72x = 4,189.78 × 4,189.78
4. Step 4: Simplify right side
   1,772.72x = 17,554,266.92
5. Step 5: Solve for x
   x = 17,554,266.92/1,772.72
6. Step 6: Final answer
   x = 9,902.45