Finding the Third Proportional to 902.81 and 1,345.78

Step by Step Solution

1. Step 1: Write the proportion equation
   902.81 : 1,345.78 = 1,345.78 : x
2. Step 2: Convert to fraction form
   902.81/1,345.78 = 1,345.78/x
3. Step 3: Cross multiply
   902.81x = 1,345.78 × 1,345.78
4. Step 4: Simplify right side
   902.81x = 1,811,127.17
5. Step 5: Solve for x
   x = 1,811,127.17/902.81
6. Step 6: Final answer
   x = 2,006.09