Finding the Third Proportional to 10,004.50 and 12,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.50 : 12,164.50 = 12,164.50 : x
2. Step 2: Convert to fraction form
   10,004.50/12,164.50 = 12,164.50/x
3. Step 3: Cross multiply
   10,004.50x = 12,164.50 × 12,164.50
4. Step 4: Simplify right side
   10,004.50x = 147,975,060.25
5. Step 5: Solve for x
   x = 147,975,060.25/10,004.50
6. Step 6: Final answer
   x = 14,790.85