Finding the Third Proportional to 12,826 and 19,409.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,826 : 19,409.25 = 19,409.25 : x
2. Step 2: Convert to fraction form
   12,826/19,409.25 = 19,409.25/x
3. Step 3: Cross multiply
   12,826x = 19,409.25 × 19,409.25
4. Step 4: Simplify right side
   12,826x = 376,718,985.56
5. Step 5: Solve for x
   x = 376,718,985.56/12,826
6. Step 6: Final answer
   x = 29,371.51