Finding the Third Proportional to 10,274 and 22,402

Step by Step Solution

1. Step 1: Write the proportion equation
   10,274 : 22,402 = 22,402 : x
2. Step 2: Convert to fraction form
   10,274/22,402 = 22,402/x
3. Step 3: Cross multiply
   10,274x = 22,402 × 22,402
4. Step 4: Simplify right side
   10,274x = 501,849,604
5. Step 5: Solve for x
   x = 501,849,604/10,274
6. Step 6: Final answer
   x = 48,846.56