Finding the Third Proportional to 1,129.50 and 1,284.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,129.50 : 1,284.19 = 1,284.19 : x
2. Step 2: Convert to fraction form
   1,129.50/1,284.19 = 1,284.19/x
3. Step 3: Cross multiply
   1,129.50x = 1,284.19 × 1,284.19
4. Step 4: Simplify right side
   1,129.50x = 1,649,137.54
5. Step 5: Solve for x
   x = 1,649,137.54/1,129.50
6. Step 6: Final answer
   x = 1,460.06