Finding the Third Proportional to 7,774.50 and 12,099.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,774.50 : 12,099.75 = 12,099.75 : x
2. Step 2: Convert to fraction form
   7,774.50/12,099.75 = 12,099.75/x
3. Step 3: Cross multiply
   7,774.50x = 12,099.75 × 12,099.75
4. Step 4: Simplify right side
   7,774.50x = 146,403,950.06
5. Step 5: Solve for x
   x = 146,403,950.06/7,774.50
6. Step 6: Final answer
   x = 18,831.30