Finding the Third Proportional to 2,111.38 and 4,628.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.38 : 4,628.13 = 4,628.13 : x
2. Step 2: Convert to fraction form
   2,111.38/4,628.13 = 4,628.13/x
3. Step 3: Cross multiply
   2,111.38x = 4,628.13 × 4,628.13
4. Step 4: Simplify right side
   2,111.38x = 21,419,541.02
5. Step 5: Solve for x
   x = 21,419,541.02/2,111.38
6. Step 6: Final answer
   x = 10,144.83