Finding the Third Proportional to 2,142.70 and 3,322.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.70 : 3,322.90 = 3,322.90 : x
2. Step 2: Convert to fraction form
   2,142.70/3,322.90 = 3,322.90/x
3. Step 3: Cross multiply
   2,142.70x = 3,322.90 × 3,322.90
4. Step 4: Simplify right side
   2,142.70x = 11,041,654.03
5. Step 5: Solve for x
   x = 11,041,654.03/2,142.70
6. Step 6: Final answer
   x = 5,153.14