Finding the Third Proportional to 3,447 and 5,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,447 : 5,872.50 = 5,872.50 : x
2. Step 2: Convert to fraction form
   3,447/5,872.50 = 5,872.50/x
3. Step 3: Cross multiply
   3,447x = 5,872.50 × 5,872.50
4. Step 4: Simplify right side
   3,447x = 34,486,256.25
5. Step 5: Solve for x
   x = 34,486,256.25/3,447
6. Step 6: Final answer
   x = 10,004.72