Finding the Third Proportional to 10,174 and 22,290

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174 : 22,290 = 22,290 : x
2. Step 2: Convert to fraction form
   10,174/22,290 = 22,290/x
3. Step 3: Cross multiply
   10,174x = 22,290 × 22,290
4. Step 4: Simplify right side
   10,174x = 496,844,100
5. Step 5: Solve for x
   x = 496,844,100/10,174
6. Step 6: Final answer
   x = 48,834.69