Finding the Third Proportional to 9,235 and 19,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,235 : 19,698.50 = 19,698.50 : x
2. Step 2: Convert to fraction form
   9,235/19,698.50 = 19,698.50/x
3. Step 3: Cross multiply
   9,235x = 19,698.50 × 19,698.50
4. Step 4: Simplify right side
   9,235x = 388,030,902.25
5. Step 5: Solve for x
   x = 388,030,902.25/9,235
6. Step 6: Final answer
   x = 42,017.42