Finding the Third Proportional to 8,041.50 and 12,296.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,041.50 : 12,296.25 = 12,296.25 : x
2. Step 2: Convert to fraction form
   8,041.50/12,296.25 = 12,296.25/x
3. Step 3: Cross multiply
   8,041.50x = 12,296.25 × 12,296.25
4. Step 4: Simplify right side
   8,041.50x = 151,197,764.06
5. Step 5: Solve for x
   x = 151,197,764.06/8,041.50
6. Step 6: Final answer
   x = 18,802.18