Finding the Third Proportional to 1,029.75 and 1,388.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.75 : 1,388.25 = 1,388.25 : x
2. Step 2: Convert to fraction form
   1,029.75/1,388.25 = 1,388.25/x
3. Step 3: Cross multiply
   1,029.75x = 1,388.25 × 1,388.25
4. Step 4: Simplify right side
   1,029.75x = 1,927,238.06
5. Step 5: Solve for x
   x = 1,927,238.06/1,029.75
6. Step 6: Final answer
   x = 1,871.56