Finding the Third Proportional to 927 and 1,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   927 : 1,371.50 = 1,371.50 : x
2. Step 2: Convert to fraction form
   927/1,371.50 = 1,371.50/x
3. Step 3: Cross multiply
   927x = 1,371.50 × 1,371.50
4. Step 4: Simplify right side
   927x = 1,881,012.25
5. Step 5: Solve for x
   x = 1,881,012.25/927
6. Step 6: Final answer
   x = 2,029.14