Finding the Third Proportional to 2,293 and 3,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,293 : 3,483.50 = 3,483.50 : x
2. Step 2: Convert to fraction form
   2,293/3,483.50 = 3,483.50/x
3. Step 3: Cross multiply
   2,293x = 3,483.50 × 3,483.50
4. Step 4: Simplify right side
   2,293x = 12,134,772.25
5. Step 5: Solve for x
   x = 12,134,772.25/2,293
6. Step 6: Final answer
   x = 5,292.09