Finding the Third Proportional to 789.56 and 900.94

Step by Step Solution

1. Step 1: Write the proportion equation
   789.56 : 900.94 = 900.94 : x
2. Step 2: Convert to fraction form
   789.56/900.94 = 900.94/x
3. Step 3: Cross multiply
   789.56x = 900.94 × 900.94
4. Step 4: Simplify right side
   789.56x = 811,688.38
5. Step 5: Solve for x
   x = 811,688.38/789.56
6. Step 6: Final answer
   x = 1,028.02