Finding the Third Proportional to 8,191.25 and 12,354.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,191.25 : 12,354.75 = 12,354.75 : x
2. Step 2: Convert to fraction form
   8,191.25/12,354.75 = 12,354.75/x
3. Step 3: Cross multiply
   8,191.25x = 12,354.75 × 12,354.75
4. Step 4: Simplify right side
   8,191.25x = 152,639,847.56
5. Step 5: Solve for x
   x = 152,639,847.56/8,191.25
6. Step 6: Final answer
   x = 18,634.50