Finding the Third Proportional to 2,217 and 4,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,217 : 4,843.50 = 4,843.50 : x
2. Step 2: Convert to fraction form
   2,217/4,843.50 = 4,843.50/x
3. Step 3: Cross multiply
   2,217x = 4,843.50 × 4,843.50
4. Step 4: Simplify right side
   2,217x = 23,459,492.25
5. Step 5: Solve for x
   x = 23,459,492.25/2,217
6. Step 6: Final answer
   x = 10,581.64