Finding the Third Proportional to 1,171.69 and 1,285.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.69 : 1,285.31 = 1,285.31 : x
2. Step 2: Convert to fraction form
   1,171.69/1,285.31 = 1,285.31/x
3. Step 3: Cross multiply
   1,171.69x = 1,285.31 × 1,285.31
4. Step 4: Simplify right side
   1,171.69x = 1,652,028.22
5. Step 5: Solve for x
   x = 1,652,028.22/1,171.69
6. Step 6: Final answer
   x = 1,409.96