Finding the Third Proportional to 902.81 and 1,476.56

Step by Step Solution

1. Step 1: Write the proportion equation
   902.81 : 1,476.56 = 1,476.56 : x
2. Step 2: Convert to fraction form
   902.81/1,476.56 = 1,476.56/x
3. Step 3: Cross multiply
   902.81x = 1,476.56 × 1,476.56
4. Step 4: Simplify right side
   902.81x = 2,180,236.82
5. Step 5: Solve for x
   x = 2,180,236.82/902.81
6. Step 6: Final answer
   x = 2,414.94