Finding the Third Proportional to 10,290 and 22,180

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290 : 22,180 = 22,180 : x
2. Step 2: Convert to fraction form
   10,290/22,180 = 22,180/x
3. Step 3: Cross multiply
   10,290x = 22,180 × 22,180
4. Step 4: Simplify right side
   10,290x = 491,952,400
5. Step 5: Solve for x
   x = 491,952,400/10,290
6. Step 6: Final answer
   x = 47,808.79