Finding the Third Proportional to 8,530 and 12,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,530 : 12,927.50 = 12,927.50 : x
2. Step 2: Convert to fraction form
   8,530/12,927.50 = 12,927.50/x
3. Step 3: Cross multiply
   8,530x = 12,927.50 × 12,927.50
4. Step 4: Simplify right side
   8,530x = 167,120,256.25
5. Step 5: Solve for x
   x = 167,120,256.25/8,530
6. Step 6: Final answer
   x = 19,592.06