Finding the Third Proportional to 8,004 and 12,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,004 : 12,415.50 = 12,415.50 : x
2. Step 2: Convert to fraction form
   8,004/12,415.50 = 12,415.50/x
3. Step 3: Cross multiply
   8,004x = 12,415.50 × 12,415.50
4. Step 4: Simplify right side
   8,004x = 154,144,640.25
5. Step 5: Solve for x
   x = 154,144,640.25/8,004
6. Step 6: Final answer
   x = 19,258.45