Finding the Third Proportional to 1,144 and 1,564

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144 : 1,564 = 1,564 : x
2. Step 2: Convert to fraction form
   1,144/1,564 = 1,564/x
3. Step 3: Cross multiply
   1,144x = 1,564 × 1,564
4. Step 4: Simplify right side
   1,144x = 2,446,096
5. Step 5: Solve for x
   x = 2,446,096/1,144
6. Step 6: Final answer
   x = 2,138.20