Finding the Third Proportional to 2,293.50 and 3,693

Step by Step Solution

1. Step 1: Write the proportion equation
   2,293.50 : 3,693 = 3,693 : x
2. Step 2: Convert to fraction form
   2,293.50/3,693 = 3,693/x
3. Step 3: Cross multiply
   2,293.50x = 3,693 × 3,693
4. Step 4: Simplify right side
   2,293.50x = 13,638,249
5. Step 5: Solve for x
   x = 13,638,249/2,293.50
6. Step 6: Final answer
   x = 5,946.48