Finding the Third Proportional to 1,141.59 and 1,344.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.59 : 1,344.09 = 1,344.09 : x
2. Step 2: Convert to fraction form
   1,141.59/1,344.09 = 1,344.09/x
3. Step 3: Cross multiply
   1,141.59x = 1,344.09 × 1,344.09
4. Step 4: Simplify right side
   1,141.59x = 1,806,588.01
5. Step 5: Solve for x
   x = 1,806,588.01/1,141.59
6. Step 6: Final answer
   x = 1,582.51