Finding the Third Proportional to 13,740 and 19,096

Step by Step Solution

1. Step 1: Write the proportion equation
   13,740 : 19,096 = 19,096 : x
2. Step 2: Convert to fraction form
   13,740/19,096 = 19,096/x
3. Step 3: Cross multiply
   13,740x = 19,096 × 19,096
4. Step 4: Simplify right side
   13,740x = 364,657,216
5. Step 5: Solve for x
   x = 364,657,216/13,740
6. Step 6: Final answer
   x = 26,539.83