Finding the Third Proportional to 9,584 and 14,032

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 14,032 = 14,032 : x
2. Step 2: Convert to fraction form
   9,584/14,032 = 14,032/x
3. Step 3: Cross multiply
   9,584x = 14,032 × 14,032
4. Step 4: Simplify right side
   9,584x = 196,897,024
5. Step 5: Solve for x
   x = 196,897,024/9,584
6. Step 6: Final answer
   x = 20,544.35