Finding the Third Proportional to 1,488.75 and 3,922.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.75 : 3,922.69 = 3,922.69 : x
2. Step 2: Convert to fraction form
   1,488.75/3,922.69 = 3,922.69/x
3. Step 3: Cross multiply
   1,488.75x = 3,922.69 × 3,922.69
4. Step 4: Simplify right side
   1,488.75x = 15,387,477.22
5. Step 5: Solve for x
   x = 15,387,477.22/1,488.75
6. Step 6: Final answer
   x = 10,335.84