Finding the Third Proportional to 27,494 and 37,350

Step by Step Solution

1. Step 1: Write the proportion equation
   27,494 : 37,350 = 37,350 : x
2. Step 2: Convert to fraction form
   27,494/37,350 = 37,350/x
3. Step 3: Cross multiply
   27,494x = 37,350 × 37,350
4. Step 4: Simplify right side
   27,494x = 1,395,022,500
5. Step 5: Solve for x
   x = 1,395,022,500/27,494
6. Step 6: Final answer
   x = 50,739.16