Finding the Third Proportional to 9,688.36 and 13,980.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.36 : 13,980.09 = 13,980.09 : x
2. Step 2: Convert to fraction form
   9,688.36/13,980.09 = 13,980.09/x
3. Step 3: Cross multiply
   9,688.36x = 13,980.09 × 13,980.09
4. Step 4: Simplify right side
   9,688.36x = 195,443,021.26
5. Step 5: Solve for x
   x = 195,443,021.26/9,688.36
6. Step 6: Final answer
   x = 20,172.97