Finding the Third Proportional to 9,539.50 and 19,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,539.50 : 19,348.50 = 19,348.50 : x
2. Step 2: Convert to fraction form
   9,539.50/19,348.50 = 19,348.50/x
3. Step 3: Cross multiply
   9,539.50x = 19,348.50 × 19,348.50
4. Step 4: Simplify right side
   9,539.50x = 374,364,452.25
5. Step 5: Solve for x
   x = 374,364,452.25/9,539.50
6. Step 6: Final answer
   x = 39,243.61