Finding the Third Proportional to 7,822.64 and 12,105.28

Step by Step Solution

1. Step 1: Write the proportion equation
   7,822.64 : 12,105.28 = 12,105.28 : x
2. Step 2: Convert to fraction form
   7,822.64/12,105.28 = 12,105.28/x
3. Step 3: Cross multiply
   7,822.64x = 12,105.28 × 12,105.28
4. Step 4: Simplify right side
   7,822.64x = 146,537,834.14
5. Step 5: Solve for x
   x = 146,537,834.14/7,822.64
6. Step 6: Final answer
   x = 18,732.53