Finding the Third Proportional to 2,894 and 5,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,894 : 5,643.50 = 5,643.50 : x
2. Step 2: Convert to fraction form
   2,894/5,643.50 = 5,643.50/x
3. Step 3: Cross multiply
   2,894x = 5,643.50 × 5,643.50
4. Step 4: Simplify right side
   2,894x = 31,849,092.25
5. Step 5: Solve for x
   x = 31,849,092.25/2,894
6. Step 6: Final answer
   x = 11,005.22