Finding the Third Proportional to 12,819 and 19,635

Step by Step Solution

1. Step 1: Write the proportion equation
   12,819 : 19,635 = 19,635 : x
2. Step 2: Convert to fraction form
   12,819/19,635 = 19,635/x
3. Step 3: Cross multiply
   12,819x = 19,635 × 19,635
4. Step 4: Simplify right side
   12,819x = 385,533,225
5. Step 5: Solve for x
   x = 385,533,225/12,819
6. Step 6: Final answer
   x = 30,075.14