Finding the Third Proportional to 9,605.81 and 19,688.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,605.81 : 19,688.06 = 19,688.06 : x
2. Step 2: Convert to fraction form
   9,605.81/19,688.06 = 19,688.06/x
3. Step 3: Cross multiply
   9,605.81x = 19,688.06 × 19,688.06
4. Step 4: Simplify right side
   9,605.81x = 387,619,805.00
5. Step 5: Solve for x
   x = 387,619,805.00/9,605.81
6. Step 6: Final answer
   x = 40,352.63