Finding the Third Proportional to 12,692 and 19,535

Step by Step Solution

1. Step 1: Write the proportion equation
   12,692 : 19,535 = 19,535 : x
2. Step 2: Convert to fraction form
   12,692/19,535 = 19,535/x
3. Step 3: Cross multiply
   12,692x = 19,535 × 19,535
4. Step 4: Simplify right side
   12,692x = 381,616,225
5. Step 5: Solve for x
   x = 381,616,225/12,692
6. Step 6: Final answer
   x = 30,067.46