Finding the Third Proportional to 9,429.75 and 19,634.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,429.75 : 19,634.38 = 19,634.38 : x
2. Step 2: Convert to fraction form
   9,429.75/19,634.38 = 19,634.38/x
3. Step 3: Cross multiply
   9,429.75x = 19,634.38 × 19,634.38
4. Step 4: Simplify right side
   9,429.75x = 385,508,681.64
5. Step 5: Solve for x
   x = 385,508,681.64/9,429.75
6. Step 6: Final answer
   x = 40,882.17