Finding the Third Proportional to 1,431.42 and 1,839.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.42 : 1,839.59 = 1,839.59 : x
2. Step 2: Convert to fraction form
   1,431.42/1,839.59 = 1,839.59/x
3. Step 3: Cross multiply
   1,431.42x = 1,839.59 × 1,839.59
4. Step 4: Simplify right side
   1,431.42x = 3,384,076.42
5. Step 5: Solve for x
   x = 3,384,076.42/1,431.42
6. Step 6: Final answer
   x = 2,364.14