Finding the Third Proportional to 1,229.63 and 1,727.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.63 : 1,727.81 = 1,727.81 : x
2. Step 2: Convert to fraction form
   1,229.63/1,727.81 = 1,727.81/x
3. Step 3: Cross multiply
   1,229.63x = 1,727.81 × 1,727.81
4. Step 4: Simplify right side
   1,229.63x = 2,985,336.04
5. Step 5: Solve for x
   x = 2,985,336.04/1,229.63
6. Step 6: Final answer
   x = 2,427.84