Finding the Third Proportional to 27,416 and 37,150

Step by Step Solution

1. Step 1: Write the proportion equation
   27,416 : 37,150 = 37,150 : x
2. Step 2: Convert to fraction form
   27,416/37,150 = 37,150/x
3. Step 3: Cross multiply
   27,416x = 37,150 × 37,150
4. Step 4: Simplify right side
   27,416x = 1,380,122,500
5. Step 5: Solve for x
   x = 1,380,122,500/27,416
6. Step 6: Final answer
   x = 50,340.04