Finding the Third Proportional to 9,684 and 14,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684 : 14,152.50 = 14,152.50 : x
2. Step 2: Convert to fraction form
   9,684/14,152.50 = 14,152.50/x
3. Step 3: Cross multiply
   9,684x = 14,152.50 × 14,152.50
4. Step 4: Simplify right side
   9,684x = 200,293,256.25
5. Step 5: Solve for x
   x = 200,293,256.25/9,684
6. Step 6: Final answer
   x = 20,682.91