Finding the Third Proportional to 1,158 and 1,322

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158 : 1,322 = 1,322 : x
2. Step 2: Convert to fraction form
   1,158/1,322 = 1,322/x
3. Step 3: Cross multiply
   1,158x = 1,322 × 1,322
4. Step 4: Simplify right side
   1,158x = 1,747,684
5. Step 5: Solve for x
   x = 1,747,684/1,158
6. Step 6: Final answer
   x = 1,509.23