Finding the Third Proportional to 7,746 and 12,429

Step by Step Solution

1. Step 1: Write the proportion equation
   7,746 : 12,429 = 12,429 : x
2. Step 2: Convert to fraction form
   7,746/12,429 = 12,429/x
3. Step 3: Cross multiply
   7,746x = 12,429 × 12,429
4. Step 4: Simplify right side
   7,746x = 154,480,041
5. Step 5: Solve for x
   x = 154,480,041/7,746
6. Step 6: Final answer
   x = 19,943.20