Finding the Third Proportional to 13,740 and 22,123

Step by Step Solution

1. Step 1: Write the proportion equation
   13,740 : 22,123 = 22,123 : x
2. Step 2: Convert to fraction form
   13,740/22,123 = 22,123/x
3. Step 3: Cross multiply
   13,740x = 22,123 × 22,123
4. Step 4: Simplify right side
   13,740x = 489,427,129
5. Step 5: Solve for x
   x = 489,427,129/13,740
6. Step 6: Final answer
   x = 35,620.61