Finding the Third Proportional to 1,927.97 and 4,212.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,927.97 : 4,212.42 = 4,212.42 : x
2. Step 2: Convert to fraction form
   1,927.97/4,212.42 = 4,212.42/x
3. Step 3: Cross multiply
   1,927.97x = 4,212.42 × 4,212.42
4. Step 4: Simplify right side
   1,927.97x = 17,744,498.05
5. Step 5: Solve for x
   x = 17,744,498.05/1,927.97
6. Step 6: Final answer
   x = 9,203.73