Finding the Third Proportional to 8,662.50 and 19,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,662.50 : 19,138.50 = 19,138.50 : x
2. Step 2: Convert to fraction form
   8,662.50/19,138.50 = 19,138.50/x
3. Step 3: Cross multiply
   8,662.50x = 19,138.50 × 19,138.50
4. Step 4: Simplify right side
   8,662.50x = 366,282,182.25
5. Step 5: Solve for x
   x = 366,282,182.25/8,662.50
6. Step 6: Final answer
   x = 42,283.66