Finding the Third Proportional to 27,870 and 37,809

Step by Step Solution

1. Step 1: Write the proportion equation
   27,870 : 37,809 = 37,809 : x
2. Step 2: Convert to fraction form
   27,870/37,809 = 37,809/x
3. Step 3: Cross multiply
   27,870x = 37,809 × 37,809
4. Step 4: Simplify right side
   27,870x = 1,429,520,481
5. Step 5: Solve for x
   x = 1,429,520,481/27,870
6. Step 6: Final answer
   x = 51,292.45