Finding the Third Proportional to 20,740 and 27,942

Step by Step Solution

1. Step 1: Write the proportion equation
   20,740 : 27,942 = 27,942 : x
2. Step 2: Convert to fraction form
   20,740/27,942 = 27,942/x
3. Step 3: Cross multiply
   20,740x = 27,942 × 27,942
4. Step 4: Simplify right side
   20,740x = 780,755,364
5. Step 5: Solve for x
   x = 780,755,364/20,740
6. Step 6: Final answer
   x = 37,644.91