Finding the Third Proportional to 4,132.50 and 8,599.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,132.50 : 8,599.25 = 8,599.25 : x
2. Step 2: Convert to fraction form
   4,132.50/8,599.25 = 8,599.25/x
3. Step 3: Cross multiply
   4,132.50x = 8,599.25 × 8,599.25
4. Step 4: Simplify right side
   4,132.50x = 73,947,100.56
5. Step 5: Solve for x
   x = 73,947,100.56/4,132.50
6. Step 6: Final answer
   x = 17,894.04