Finding the Third Proportional to 9,964.69 and 13,538.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,964.69 : 13,538.81 = 13,538.81 : x
2. Step 2: Convert to fraction form
   9,964.69/13,538.81 = 13,538.81/x
3. Step 3: Cross multiply
   9,964.69x = 13,538.81 × 13,538.81
4. Step 4: Simplify right side
   9,964.69x = 183,299,443.91
5. Step 5: Solve for x
   x = 183,299,443.91/9,964.69
6. Step 6: Final answer
   x = 18,394.90