Finding the Third Proportional to 12,814 and 19,769

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814 : 19,769 = 19,769 : x
2. Step 2: Convert to fraction form
   12,814/19,769 = 19,769/x
3. Step 3: Cross multiply
   12,814x = 19,769 × 19,769
4. Step 4: Simplify right side
   12,814x = 390,813,361
5. Step 5: Solve for x
   x = 390,813,361/12,814
6. Step 6: Final answer
   x = 30,498.94