Finding the Third Proportional to 3,004.50 and 4,799.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,004.50 : 4,799.25 = 4,799.25 : x
2. Step 2: Convert to fraction form
   3,004.50/4,799.25 = 4,799.25/x
3. Step 3: Cross multiply
   3,004.50x = 4,799.25 × 4,799.25
4. Step 4: Simplify right side
   3,004.50x = 23,032,800.56
5. Step 5: Solve for x
   x = 23,032,800.56/3,004.50
6. Step 6: Final answer
   x = 7,666.10