Finding the Third Proportional to 12,004.50 and 19,177.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,004.50 : 19,177.50 = 19,177.50 : x
2. Step 2: Convert to fraction form
   12,004.50/19,177.50 = 19,177.50/x
3. Step 3: Cross multiply
   12,004.50x = 19,177.50 × 19,177.50
4. Step 4: Simplify right side
   12,004.50x = 367,776,506.25
5. Step 5: Solve for x
   x = 367,776,506.25/12,004.50
6. Step 6: Final answer
   x = 30,636.55