Finding the Third Proportional to 2,228.25 and 3,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,228.25 : 3,166.50 = 3,166.50 : x
2. Step 2: Convert to fraction form
   2,228.25/3,166.50 = 3,166.50/x
3. Step 3: Cross multiply
   2,228.25x = 3,166.50 × 3,166.50
4. Step 4: Simplify right side
   2,228.25x = 10,026,722.25
5. Step 5: Solve for x
   x = 10,026,722.25/2,228.25
6. Step 6: Final answer
   x = 4,499.82