Finding the Third Proportional to 1,072 and 1,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072 : 1,603.50 = 1,603.50 : x
2. Step 2: Convert to fraction form
   1,072/1,603.50 = 1,603.50/x
3. Step 3: Cross multiply
   1,072x = 1,603.50 × 1,603.50
4. Step 4: Simplify right side
   1,072x = 2,571,212.25
5. Step 5: Solve for x
   x = 2,571,212.25/1,072
6. Step 6: Final answer
   x = 2,398.52