Finding the Third Proportional to 3,019.78 and 4,784.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,019.78 : 4,784.06 = 4,784.06 : x
2. Step 2: Convert to fraction form
   3,019.78/4,784.06 = 4,784.06/x
3. Step 3: Cross multiply
   3,019.78x = 4,784.06 × 4,784.06
4. Step 4: Simplify right side
   3,019.78x = 22,887,254.00
5. Step 5: Solve for x
   x = 22,887,254.00/3,019.78
6. Step 6: Final answer
   x = 7,579.11