Finding the Third Proportional to 7,725 and 12,429

Step by Step Solution

1. Step 1: Write the proportion equation
   7,725 : 12,429 = 12,429 : x
2. Step 2: Convert to fraction form
   7,725/12,429 = 12,429/x
3. Step 3: Cross multiply
   7,725x = 12,429 × 12,429
4. Step 4: Simplify right side
   7,725x = 154,480,041
5. Step 5: Solve for x
   x = 154,480,041/7,725
6. Step 6: Final answer
   x = 19,997.42