Finding the Third Proportional to 1,047 and 1,128

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047 : 1,128 = 1,128 : x
2. Step 2: Convert to fraction form
   1,047/1,128 = 1,128/x
3. Step 3: Cross multiply
   1,047x = 1,128 × 1,128
4. Step 4: Simplify right side
   1,047x = 1,272,384
5. Step 5: Solve for x
   x = 1,272,384/1,047
6. Step 6: Final answer
   x = 1,215.27