Finding the Third Proportional to 5,004 and 7,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,004 : 7,789.50 = 7,789.50 : x
2. Step 2: Convert to fraction form
   5,004/7,789.50 = 7,789.50/x
3. Step 3: Cross multiply
   5,004x = 7,789.50 × 7,789.50
4. Step 4: Simplify right side
   5,004x = 60,676,310.25
5. Step 5: Solve for x
   x = 60,676,310.25/5,004
6. Step 6: Final answer
   x = 12,125.56