Finding the Third Proportional to 1,174 and 1,801

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174 : 1,801 = 1,801 : x
2. Step 2: Convert to fraction form
   1,174/1,801 = 1,801/x
3. Step 3: Cross multiply
   1,174x = 1,801 × 1,801
4. Step 4: Simplify right side
   1,174x = 3,243,601
5. Step 5: Solve for x
   x = 3,243,601/1,174
6. Step 6: Final answer
   x = 2,762.86