Finding the Third Proportional to 27,588.09 and 37,258.73

Step by Step Solution

1. Step 1: Write the proportion equation
   27,588.09 : 37,258.73 = 37,258.73 : x
2. Step 2: Convert to fraction form
   27,588.09/37,258.73 = 37,258.73/x
3. Step 3: Cross multiply
   27,588.09x = 37,258.73 × 37,258.73
4. Step 4: Simplify right side
   27,588.09x = 1,388,213,287.23
5. Step 5: Solve for x
   x = 1,388,213,287.23/27,588.09
6. Step 6: Final answer
   x = 50,319.29