Finding the Third Proportional to 1,588.36 and 2,158.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.36 : 2,158.52 = 2,158.52 : x
2. Step 2: Convert to fraction form
   1,588.36/2,158.52 = 2,158.52/x
3. Step 3: Cross multiply
   1,588.36x = 2,158.52 × 2,158.52
4. Step 4: Simplify right side
   1,588.36x = 4,659,223.43
5. Step 5: Solve for x
   x = 4,659,223.43/1,588.36
6. Step 6: Final answer
   x = 2,933.36