Finding the Third Proportional to 18,109.50 and 38,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,109.50 : 38,185.50 = 38,185.50 : x
2. Step 2: Convert to fraction form
   18,109.50/38,185.50 = 38,185.50/x
3. Step 3: Cross multiply
   18,109.50x = 38,185.50 × 38,185.50
4. Step 4: Simplify right side
   18,109.50x = 1,458,132,410.25
5. Step 5: Solve for x
   x = 1,458,132,410.25/18,109.50
6. Step 6: Final answer
   x = 80,517.54