Finding the Third Proportional to 1,773.50 and 3,854

Step by Step Solution

1. Step 1: Write the proportion equation
   1,773.50 : 3,854 = 3,854 : x
2. Step 2: Convert to fraction form
   1,773.50/3,854 = 3,854/x
3. Step 3: Cross multiply
   1,773.50x = 3,854 × 3,854
4. Step 4: Simplify right side
   1,773.50x = 14,853,316
5. Step 5: Solve for x
   x = 14,853,316/1,773.50
6. Step 6: Final answer
   x = 8,375.14