Finding the Third Proportional to 2,211 and 4,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,211 : 4,837.50 = 4,837.50 : x
2. Step 2: Convert to fraction form
   2,211/4,837.50 = 4,837.50/x
3. Step 3: Cross multiply
   2,211x = 4,837.50 × 4,837.50
4. Step 4: Simplify right side
   2,211x = 23,401,406.25
5. Step 5: Solve for x
   x = 23,401,406.25/2,211
6. Step 6: Final answer
   x = 10,584.08