Finding the Third Proportional to 2,211.50 and 4,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,211.50 : 4,838.50 = 4,838.50 : x
2. Step 2: Convert to fraction form
   2,211.50/4,838.50 = 4,838.50/x
3. Step 3: Cross multiply
   2,211.50x = 4,838.50 × 4,838.50
4. Step 4: Simplify right side
   2,211.50x = 23,411,082.25
5. Step 5: Solve for x
   x = 23,411,082.25/2,211.50
6. Step 6: Final answer
   x = 10,586.06