Finding the Third Proportional to 8,530 and 18,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,530 : 18,072.50 = 18,072.50 : x
2. Step 2: Convert to fraction form
   8,530/18,072.50 = 18,072.50/x
3. Step 3: Cross multiply
   8,530x = 18,072.50 × 18,072.50
4. Step 4: Simplify right side
   8,530x = 326,615,256.25
5. Step 5: Solve for x
   x = 326,615,256.25/8,530
6. Step 6: Final answer
   x = 38,290.18