Finding the Third Proportional to 24,085 and 36,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,085 : 36,019.50 = 36,019.50 : x
2. Step 2: Convert to fraction form
   24,085/36,019.50 = 36,019.50/x
3. Step 3: Cross multiply
   24,085x = 36,019.50 × 36,019.50
4. Step 4: Simplify right side
   24,085x = 1,297,404,380.25
5. Step 5: Solve for x
   x = 1,297,404,380.25/24,085
6. Step 6: Final answer
   x = 53,867.73