Finding the Third Proportional to 2,283 and 5,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,283 : 5,488.50 = 5,488.50 : x
2. Step 2: Convert to fraction form
   2,283/5,488.50 = 5,488.50/x
3. Step 3: Cross multiply
   2,283x = 5,488.50 × 5,488.50
4. Step 4: Simplify right side
   2,283x = 30,123,632.25
5. Step 5: Solve for x
   x = 30,123,632.25/2,283
6. Step 6: Final answer
   x = 13,194.76