Finding the Third Proportional to 21,402 and 50,314

Step by Step Solution

1. Step 1: Write the proportion equation
   21,402 : 50,314 = 50,314 : x
2. Step 2: Convert to fraction form
   21,402/50,314 = 50,314/x
3. Step 3: Cross multiply
   21,402x = 50,314 × 50,314
4. Step 4: Simplify right side
   21,402x = 2,531,498,596
5. Step 5: Solve for x
   x = 2,531,498,596/21,402
6. Step 6: Final answer
   x = 118,283.27