Finding the Third Proportional to 12,822.75 and 19,410.88

Step by Step Solution

1. Step 1: Write the proportion equation
   12,822.75 : 19,410.88 = 19,410.88 : x
2. Step 2: Convert to fraction form
   12,822.75/19,410.88 = 19,410.88/x
3. Step 3: Cross multiply
   12,822.75x = 19,410.88 × 19,410.88
4. Step 4: Simplify right side
   12,822.75x = 376,782,068.27
5. Step 5: Solve for x
   x = 376,782,068.27/12,822.75
6. Step 6: Final answer
   x = 29,383.87