Finding the Third Proportional to 9,084.50 and 12,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,084.50 : 12,208.50 = 12,208.50 : x
2. Step 2: Convert to fraction form
   9,084.50/12,208.50 = 12,208.50/x
3. Step 3: Cross multiply
   9,084.50x = 12,208.50 × 12,208.50
4. Step 4: Simplify right side
   9,084.50x = 149,047,472.25
5. Step 5: Solve for x
   x = 149,047,472.25/9,084.50
6. Step 6: Final answer
   x = 16,406.79