Finding the Third Proportional to 12,894.19 and 19,522.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,894.19 : 19,522.69 = 19,522.69 : x
2. Step 2: Convert to fraction form
   12,894.19/19,522.69 = 19,522.69/x
3. Step 3: Cross multiply
   12,894.19x = 19,522.69 × 19,522.69
4. Step 4: Simplify right side
   12,894.19x = 381,135,327.22
5. Step 5: Solve for x
   x = 381,135,327.22/12,894.19
6. Step 6: Final answer
   x = 29,558.69