Finding the Third Proportional to 9,699.75 and 14,097.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,699.75 : 14,097.38 = 14,097.38 : x
2. Step 2: Convert to fraction form
   9,699.75/14,097.38 = 14,097.38/x
3. Step 3: Cross multiply
   9,699.75x = 14,097.38 × 14,097.38
4. Step 4: Simplify right side
   9,699.75x = 198,735,981.89
5. Step 5: Solve for x
   x = 198,735,981.89/9,699.75
6. Step 6: Final answer
   x = 20,488.77