Finding the Third Proportional to 13,740 and 17,898

Step by Step Solution

1. Step 1: Write the proportion equation
   13,740 : 17,898 = 17,898 : x
2. Step 2: Convert to fraction form
   13,740/17,898 = 17,898/x
3. Step 3: Cross multiply
   13,740x = 17,898 × 17,898
4. Step 4: Simplify right side
   13,740x = 320,338,404
5. Step 5: Solve for x
   x = 320,338,404/13,740
6. Step 6: Final answer
   x = 23,314.29