Finding the Third Proportional to 27,888 and 37,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,888 : 37,831.50 = 37,831.50 : x
2. Step 2: Convert to fraction form
   27,888/37,831.50 = 37,831.50/x
3. Step 3: Cross multiply
   27,888x = 37,831.50 × 37,831.50
4. Step 4: Simplify right side
   27,888x = 1,431,222,392.25
5. Step 5: Solve for x
   x = 1,431,222,392.25/27,888
6. Step 6: Final answer
   x = 51,320.37