Finding the Third Proportional to 11,823 and 19,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,823 : 19,048.50 = 19,048.50 : x
2. Step 2: Convert to fraction form
   11,823/19,048.50 = 19,048.50/x
3. Step 3: Cross multiply
   11,823x = 19,048.50 × 19,048.50
4. Step 4: Simplify right side
   11,823x = 362,845,352.25
5. Step 5: Solve for x
   x = 362,845,352.25/11,823
6. Step 6: Final answer
   x = 30,689.79