Finding the Third Proportional to 27,302 and 37,064

Step by Step Solution

1. Step 1: Write the proportion equation
   27,302 : 37,064 = 37,064 : x
2. Step 2: Convert to fraction form
   27,302/37,064 = 37,064/x
3. Step 3: Cross multiply
   27,302x = 37,064 × 37,064
4. Step 4: Simplify right side
   27,302x = 1,373,740,096
5. Step 5: Solve for x
   x = 1,373,740,096/27,302
6. Step 6: Final answer
   x = 50,316.46