Finding the Third Proportional to 2,270 and 3,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270 : 3,362.50 = 3,362.50 : x
2. Step 2: Convert to fraction form
   2,270/3,362.50 = 3,362.50/x
3. Step 3: Cross multiply
   2,270x = 3,362.50 × 3,362.50
4. Step 4: Simplify right side
   2,270x = 11,306,406.25
5. Step 5: Solve for x
   x = 11,306,406.25/2,270
6. Step 6: Final answer
   x = 4,980.80