Finding the Third Proportional to 1,588.50 and 2,322

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.50 : 2,322 = 2,322 : x
2. Step 2: Convert to fraction form
   1,588.50/2,322 = 2,322/x
3. Step 3: Cross multiply
   1,588.50x = 2,322 × 2,322
4. Step 4: Simplify right side
   1,588.50x = 5,391,684
5. Step 5: Solve for x
   x = 5,391,684/1,588.50
6. Step 6: Final answer
   x = 3,394.20