Finding the Third Proportional to 27,589.50 and 37,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,589.50 : 37,489.50 = 37,489.50 : x
2. Step 2: Convert to fraction form
   27,589.50/37,489.50 = 37,489.50/x
3. Step 3: Cross multiply
   27,589.50x = 37,489.50 × 37,489.50
4. Step 4: Simplify right side
   27,589.50x = 1,405,462,610.25
5. Step 5: Solve for x
   x = 1,405,462,610.25/27,589.50
6. Step 6: Final answer
   x = 50,941.94