Finding the Third Proportional to 810.42 and 1,677.38

Step by Step Solution

1. Step 1: Write the proportion equation
   810.42 : 1,677.38 = 1,677.38 : x
2. Step 2: Convert to fraction form
   810.42/1,677.38 = 1,677.38/x
3. Step 3: Cross multiply
   810.42x = 1,677.38 × 1,677.38
4. Step 4: Simplify right side
   810.42x = 2,813,586.89
5. Step 5: Solve for x
   x = 2,813,586.89/810.42
6. Step 6: Final answer
   x = 3,471.76