Finding the Third Proportional to 2,214.50 and 4,792.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,214.50 : 4,792.75 = 4,792.75 : x
2. Step 2: Convert to fraction form
   2,214.50/4,792.75 = 4,792.75/x
3. Step 3: Cross multiply
   2,214.50x = 4,792.75 × 4,792.75
4. Step 4: Simplify right side
   2,214.50x = 22,970,452.56
5. Step 5: Solve for x
   x = 22,970,452.56/2,214.50
6. Step 6: Final answer
   x = 10,372.75