Finding the Third Proportional to 3,772.69 and 4,114.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,772.69 : 4,114.31 = 4,114.31 : x
2. Step 2: Convert to fraction form
   3,772.69/4,114.31 = 4,114.31/x
3. Step 3: Cross multiply
   3,772.69x = 4,114.31 × 4,114.31
4. Step 4: Simplify right side
   3,772.69x = 16,927,567.35
5. Step 5: Solve for x
   x = 16,927,567.35/3,772.69
6. Step 6: Final answer
   x = 4,486.87