Finding the Third Proportional to 2,869 and 4,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,869 : 4,061.50 = 4,061.50 : x
2. Step 2: Convert to fraction form
   2,869/4,061.50 = 4,061.50/x
3. Step 3: Cross multiply
   2,869x = 4,061.50 × 4,061.50
4. Step 4: Simplify right side
   2,869x = 16,495,782.25
5. Step 5: Solve for x
   x = 16,495,782.25/2,869
6. Step 6: Final answer
   x = 5,749.66