Finding the Third Proportional to 18,137.25 and 27,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,137.25 : 27,742.50 = 27,742.50 : x
2. Step 2: Convert to fraction form
   18,137.25/27,742.50 = 27,742.50/x
3. Step 3: Cross multiply
   18,137.25x = 27,742.50 × 27,742.50
4. Step 4: Simplify right side
   18,137.25x = 769,646,306.25
5. Step 5: Solve for x
   x = 769,646,306.25/18,137.25
6. Step 6: Final answer
   x = 42,434.56