Finding the Third Proportional to 27,524 and 38,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,524 : 38,297.50 = 38,297.50 : x
2. Step 2: Convert to fraction form
   27,524/38,297.50 = 38,297.50/x
3. Step 3: Cross multiply
   27,524x = 38,297.50 × 38,297.50
4. Step 4: Simplify right side
   27,524x = 1,466,698,506.25
5. Step 5: Solve for x
   x = 1,466,698,506.25/27,524
6. Step 6: Final answer
   x = 53,287.99