Finding the Third Proportional to 9,414 and 21,429

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414 : 21,429 = 21,429 : x
2. Step 2: Convert to fraction form
   9,414/21,429 = 21,429/x
3. Step 3: Cross multiply
   9,414x = 21,429 × 21,429
4. Step 4: Simplify right side
   9,414x = 459,202,041
5. Step 5: Solve for x
   x = 459,202,041/9,414
6. Step 6: Final answer
   x = 48,778.63