Finding the Third Proportional to 27,664 and 37,182

Step by Step Solution

1. Step 1: Write the proportion equation
   27,664 : 37,182 = 37,182 : x
2. Step 2: Convert to fraction form
   27,664/37,182 = 37,182/x
3. Step 3: Cross multiply
   27,664x = 37,182 × 37,182
4. Step 4: Simplify right side
   27,664x = 1,382,501,124
5. Step 5: Solve for x
   x = 1,382,501,124/27,664
6. Step 6: Final answer
   x = 49,974.74