Finding the Third Proportional to 2,467.59 and 5,274.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,467.59 : 5,274.38 = 5,274.38 : x
2. Step 2: Convert to fraction form
   2,467.59/5,274.38 = 5,274.38/x
3. Step 3: Cross multiply
   2,467.59x = 5,274.38 × 5,274.38
4. Step 4: Simplify right side
   2,467.59x = 27,819,031.64
5. Step 5: Solve for x
   x = 27,819,031.64/2,467.59
6. Step 6: Final answer
   x = 11,273.75