Finding the Third Proportional to 7,834 and 12,606

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834 : 12,606 = 12,606 : x
2. Step 2: Convert to fraction form
   7,834/12,606 = 12,606/x
3. Step 3: Cross multiply
   7,834x = 12,606 × 12,606
4. Step 4: Simplify right side
   7,834x = 158,911,236
5. Step 5: Solve for x
   x = 158,911,236/7,834
6. Step 6: Final answer
   x = 20,284.81