Finding the Third Proportional to 1,126.50 and 1,281

Step by Step Solution

1. Step 1: Write the proportion equation
   1,126.50 : 1,281 = 1,281 : x
2. Step 2: Convert to fraction form
   1,126.50/1,281 = 1,281/x
3. Step 3: Cross multiply
   1,126.50x = 1,281 × 1,281
4. Step 4: Simplify right side
   1,126.50x = 1,640,961
5. Step 5: Solve for x
   x = 1,640,961/1,126.50
6. Step 6: Final answer
   x = 1,456.69