Finding the Third Proportional to 1,114.31 and 1,605.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.31 : 1,605.94 = 1,605.94 : x
2. Step 2: Convert to fraction form
   1,114.31/1,605.94 = 1,605.94/x
3. Step 3: Cross multiply
   1,114.31x = 1,605.94 × 1,605.94
4. Step 4: Simplify right side
   1,114.31x = 2,579,035.25
5. Step 5: Solve for x
   x = 2,579,035.25/1,114.31
6. Step 6: Final answer
   x = 2,314.46