Finding the Third Proportional to 9,269 and 19,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,269 : 19,185.50 = 19,185.50 : x
2. Step 2: Convert to fraction form
   9,269/19,185.50 = 19,185.50/x
3. Step 3: Cross multiply
   9,269x = 19,185.50 × 19,185.50
4. Step 4: Simplify right side
   9,269x = 368,083,410.25
5. Step 5: Solve for x
   x = 368,083,410.25/9,269
6. Step 6: Final answer
   x = 39,711.23