Finding the Third Proportional to 810 and 1,776.38

Step by Step Solution

1. Step 1: Write the proportion equation
   810 : 1,776.38 = 1,776.38 : x
2. Step 2: Convert to fraction form
   810/1,776.38 = 1,776.38/x
3. Step 3: Cross multiply
   810x = 1,776.38 × 1,776.38
4. Step 4: Simplify right side
   810x = 3,155,508.14
5. Step 5: Solve for x
   x = 3,155,508.14/810
6. Step 6: Final answer
   x = 3,895.69