Finding the Third Proportional to 10,174 and 22,262

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174 : 22,262 = 22,262 : x
2. Step 2: Convert to fraction form
   10,174/22,262 = 22,262/x
3. Step 3: Cross multiply
   10,174x = 22,262 × 22,262
4. Step 4: Simplify right side
   10,174x = 495,596,644
5. Step 5: Solve for x
   x = 495,596,644/10,174
6. Step 6: Final answer
   x = 48,712.07