Finding the Third Proportional to 8,429 and 12,994

Step by Step Solution

1. Step 1: Write the proportion equation
   8,429 : 12,994 = 12,994 : x
2. Step 2: Convert to fraction form
   8,429/12,994 = 12,994/x
3. Step 3: Cross multiply
   8,429x = 12,994 × 12,994
4. Step 4: Simplify right side
   8,429x = 168,844,036
5. Step 5: Solve for x
   x = 168,844,036/8,429
6. Step 6: Final answer
   x = 20,031.32