Finding the Third Proportional to 3,404.63 and 4,620.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,404.63 : 4,620.56 = 4,620.56 : x
2. Step 2: Convert to fraction form
   3,404.63/4,620.56 = 4,620.56/x
3. Step 3: Cross multiply
   3,404.63x = 4,620.56 × 4,620.56
4. Step 4: Simplify right side
   3,404.63x = 21,349,597.82
5. Step 5: Solve for x
   x = 21,349,597.82/3,404.63
6. Step 6: Final answer
   x = 6,270.76