Finding the Third Proportional to 2,743.45 and 5,925.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.45 : 5,925.66 = 5,925.66 : x
2. Step 2: Convert to fraction form
   2,743.45/5,925.66 = 5,925.66/x
3. Step 3: Cross multiply
   2,743.45x = 5,925.66 × 5,925.66
4. Step 4: Simplify right side
   2,743.45x = 35,113,401.99
5. Step 5: Solve for x
   x = 35,113,401.99/2,743.45
6. Step 6: Final answer
   x = 12,798.98