Finding the Third Proportional to 1,174 and 1,436

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174 : 1,436 = 1,436 : x
2. Step 2: Convert to fraction form
   1,174/1,436 = 1,436/x
3. Step 3: Cross multiply
   1,174x = 1,436 × 1,436
4. Step 4: Simplify right side
   1,174x = 2,062,096
5. Step 5: Solve for x
   x = 2,062,096/1,174
6. Step 6: Final answer
   x = 1,756.47