Finding the Third Proportional to 8,192.50 and 12,355.88

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192.50 : 12,355.88 = 12,355.88 : x
2. Step 2: Convert to fraction form
   8,192.50/12,355.88 = 12,355.88/x
3. Step 3: Cross multiply
   8,192.50x = 12,355.88 × 12,355.88
4. Step 4: Simplify right side
   8,192.50x = 152,667,647.02
5. Step 5: Solve for x
   x = 152,667,647.02/8,192.50
6. Step 6: Final answer
   x = 18,635.05