Finding the Third Proportional to 2,190 and 5,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,190 : 5,299.50 = 5,299.50 : x
2. Step 2: Convert to fraction form
   2,190/5,299.50 = 5,299.50/x
3. Step 3: Cross multiply
   2,190x = 5,299.50 × 5,299.50
4. Step 4: Simplify right side
   2,190x = 28,084,700.25
5. Step 5: Solve for x
   x = 28,084,700.25/2,190
6. Step 6: Final answer
   x = 12,824.06