Finding the Third Proportional to 1,948.13 and 4,359.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,948.13 : 4,359.38 = 4,359.38 : x
2. Step 2: Convert to fraction form
   1,948.13/4,359.38 = 4,359.38/x
3. Step 3: Cross multiply
   1,948.13x = 4,359.38 × 4,359.38
4. Step 4: Simplify right side
   1,948.13x = 19,004,150.39
5. Step 5: Solve for x
   x = 19,004,150.39/1,948.13
6. Step 6: Final answer
   x = 9,755.10