Finding the Third Proportional to 1,101.50 and 2,065

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.50 : 2,065 = 2,065 : x
2. Step 2: Convert to fraction form
   1,101.50/2,065 = 2,065/x
3. Step 3: Cross multiply
   1,101.50x = 2,065 × 2,065
4. Step 4: Simplify right side
   1,101.50x = 4,264,225
5. Step 5: Solve for x
   x = 4,264,225/1,101.50
6. Step 6: Final answer
   x = 3,871.29