Finding the Third Proportional to 1,530.14 and 2,158.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.14 : 2,158.52 = 2,158.52 : x
2. Step 2: Convert to fraction form
   1,530.14/2,158.52 = 2,158.52/x
3. Step 3: Cross multiply
   1,530.14x = 2,158.52 × 2,158.52
4. Step 4: Simplify right side
   1,530.14x = 4,659,223.43
5. Step 5: Solve for x
   x = 4,659,223.43/1,530.14
6. Step 6: Final answer
   x = 3,044.96