Finding the Third Proportional to 27,508 and 37,146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,508 : 37,146.25 = 37,146.25 : x
2. Step 2: Convert to fraction form
   27,508/37,146.25 = 37,146.25/x
3. Step 3: Cross multiply
   27,508x = 37,146.25 × 37,146.25
4. Step 4: Simplify right side
   27,508x = 1,379,843,889.06
5. Step 5: Solve for x
   x = 1,379,843,889.06/27,508
6. Step 6: Final answer
   x = 50,161.55