Finding the Third Proportional to 1,930.50 and 4,215.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,930.50 : 4,215.38 = 4,215.38 : x
2. Step 2: Convert to fraction form
   1,930.50/4,215.38 = 4,215.38/x
3. Step 3: Cross multiply
   1,930.50x = 4,215.38 × 4,215.38
4. Step 4: Simplify right side
   1,930.50x = 17,769,386.39
5. Step 5: Solve for x
   x = 17,769,386.39/1,930.50
6. Step 6: Final answer
   x = 9,204.55