Finding the Third Proportional to 1,159.69 and 1,281.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.69 : 1,281.47 = 1,281.47 : x
2. Step 2: Convert to fraction form
   1,159.69/1,281.47 = 1,281.47/x
3. Step 3: Cross multiply
   1,159.69x = 1,281.47 × 1,281.47
4. Step 4: Simplify right side
   1,159.69x = 1,642,162.16
5. Step 5: Solve for x
   x = 1,642,162.16/1,159.69
6. Step 6: Final answer
   x = 1,416.04