Finding the Third Proportional to 13,180 and 17,114

Step by Step Solution

1. Step 1: Write the proportion equation
   13,180 : 17,114 = 17,114 : x
2. Step 2: Convert to fraction form
   13,180/17,114 = 17,114/x
3. Step 3: Cross multiply
   13,180x = 17,114 × 17,114
4. Step 4: Simplify right side
   13,180x = 292,888,996
5. Step 5: Solve for x
   x = 292,888,996/13,180
6. Step 6: Final answer
   x = 22,222.23