Finding the Third Proportional to 27,510 and 37,148

Step by Step Solution

1. Step 1: Write the proportion equation
   27,510 : 37,148 = 37,148 : x
2. Step 2: Convert to fraction form
   27,510/37,148 = 37,148/x
3. Step 3: Cross multiply
   27,510x = 37,148 × 37,148
4. Step 4: Simplify right side
   27,510x = 1,379,973,904
5. Step 5: Solve for x
   x = 1,379,973,904/27,510
6. Step 6: Final answer
   x = 50,162.63