Finding the Third Proportional to 2,922.75 and 4,537.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,922.75 : 4,537.69 = 4,537.69 : x
2. Step 2: Convert to fraction form
   2,922.75/4,537.69 = 4,537.69/x
3. Step 3: Cross multiply
   2,922.75x = 4,537.69 × 4,537.69
4. Step 4: Simplify right side
   2,922.75x = 20,590,607.85
5. Step 5: Solve for x
   x = 20,590,607.85/2,922.75
6. Step 6: Final answer
   x = 7,044.94