Finding the Third Proportional to 3,500 and 7,468

Step by Step Solution

1. Step 1: Write the proportion equation
   3,500 : 7,468 = 7,468 : x
2. Step 2: Convert to fraction form
   3,500/7,468 = 7,468/x
3. Step 3: Cross multiply
   3,500x = 7,468 × 7,468
4. Step 4: Simplify right side
   3,500x = 55,771,024
5. Step 5: Solve for x
   x = 55,771,024/3,500
6. Step 6: Final answer
   x = 15,934.58