Finding the Third Proportional to 4,314.50 and 9,436.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,314.50 : 9,436.63 = 9,436.63 : x
2. Step 2: Convert to fraction form
   4,314.50/9,436.63 = 9,436.63/x
3. Step 3: Cross multiply
   4,314.50x = 9,436.63 × 9,436.63
4. Step 4: Simplify right side
   4,314.50x = 89,049,891.39
5. Step 5: Solve for x
   x = 89,049,891.39/4,314.50
6. Step 6: Final answer
   x = 20,639.68