Finding the Third Proportional to 13,780 and 22,180

Step by Step Solution

1. Step 1: Write the proportion equation
   13,780 : 22,180 = 22,180 : x
2. Step 2: Convert to fraction form
   13,780/22,180 = 22,180/x
3. Step 3: Cross multiply
   13,780x = 22,180 × 22,180
4. Step 4: Simplify right side
   13,780x = 491,952,400
5. Step 5: Solve for x
   x = 491,952,400/13,780
6. Step 6: Final answer
   x = 35,700.46