Finding the Third Proportional to 8,462 and 19,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,462 : 19,503.50 = 19,503.50 : x
2. Step 2: Convert to fraction form
   8,462/19,503.50 = 19,503.50/x
3. Step 3: Cross multiply
   8,462x = 19,503.50 × 19,503.50
4. Step 4: Simplify right side
   8,462x = 380,386,512.25
5. Step 5: Solve for x
   x = 380,386,512.25/8,462
6. Step 6: Final answer
   x = 44,952.32