Finding the Third Proportional to 12,004 and 25,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,004 : 25,785.50 = 25,785.50 : x
2. Step 2: Convert to fraction form
   12,004/25,785.50 = 25,785.50/x
3. Step 3: Cross multiply
   12,004x = 25,785.50 × 25,785.50
4. Step 4: Simplify right side
   12,004x = 664,892,010.25
5. Step 5: Solve for x
   x = 664,892,010.25/12,004
6. Step 6: Final answer
   x = 55,389.20