Finding the Third Proportional to 2,914.88 and 4,644.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,914.88 : 4,644.56 = 4,644.56 : x
2. Step 2: Convert to fraction form
   2,914.88/4,644.56 = 4,644.56/x
3. Step 3: Cross multiply
   2,914.88x = 4,644.56 × 4,644.56
4. Step 4: Simplify right side
   2,914.88x = 21,571,960.82
5. Step 5: Solve for x
   x = 21,571,960.82/2,914.88
6. Step 6: Final answer
   x = 7,400.65