Finding the Third Proportional to 8,084 and 12,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,084 : 12,094.50 = 12,094.50 : x
2. Step 2: Convert to fraction form
   8,084/12,094.50 = 12,094.50/x
3. Step 3: Cross multiply
   8,084x = 12,094.50 × 12,094.50
4. Step 4: Simplify right side
   8,084x = 146,276,930.25
5. Step 5: Solve for x
   x = 146,276,930.25/8,084
6. Step 6: Final answer
   x = 18,094.62