Finding the Third Proportional to 1,436.63 and 3,142.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,436.63 : 3,142.41 = 3,142.41 : x
2. Step 2: Convert to fraction form
   1,436.63/3,142.41 = 3,142.41/x
3. Step 3: Cross multiply
   1,436.63x = 3,142.41 × 3,142.41
4. Step 4: Simplify right side
   1,436.63x = 9,874,717.04
5. Step 5: Solve for x
   x = 9,874,717.04/1,436.63
6. Step 6: Final answer
   x = 6,873.55