Finding the Third Proportional to 19,185 and 30,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,185 : 30,538.50 = 30,538.50 : x
2. Step 2: Convert to fraction form
   19,185/30,538.50 = 30,538.50/x
3. Step 3: Cross multiply
   19,185x = 30,538.50 × 30,538.50
4. Step 4: Simplify right side
   19,185x = 932,599,982.25
5. Step 5: Solve for x
   x = 932,599,982.25/19,185
6. Step 6: Final answer
   x = 48,610.89