Finding the Third Proportional to 1,431.84 and 2,134.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.84 : 2,134.27 = 2,134.27 : x
2. Step 2: Convert to fraction form
   1,431.84/2,134.27 = 2,134.27/x
3. Step 3: Cross multiply
   1,431.84x = 2,134.27 × 2,134.27
4. Step 4: Simplify right side
   1,431.84x = 4,555,089.76
5. Step 5: Solve for x
   x = 4,555,089.76/1,431.84
6. Step 6: Final answer
   x = 3,181.28