Finding the Third Proportional to 1,773.50 and 3,857.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,773.50 : 3,857.25 = 3,857.25 : x
2. Step 2: Convert to fraction form
   1,773.50/3,857.25 = 3,857.25/x
3. Step 3: Cross multiply
   1,773.50x = 3,857.25 × 3,857.25
4. Step 4: Simplify right side
   1,773.50x = 14,878,377.56
5. Step 5: Solve for x
   x = 14,878,377.56/1,773.50
6. Step 6: Final answer
   x = 8,389.27