Finding the Third Proportional to 2,142.56 and 3,214.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.56 : 3,214.13 = 3,214.13 : x
2. Step 2: Convert to fraction form
   2,142.56/3,214.13 = 3,214.13/x
3. Step 3: Cross multiply
   2,142.56x = 3,214.13 × 3,214.13
4. Step 4: Simplify right side
   2,142.56x = 10,330,599.52
5. Step 5: Solve for x
   x = 10,330,599.52/2,142.56
6. Step 6: Final answer
   x = 4,821.61