Finding the Third Proportional to 2,122.31 and 4,710.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,122.31 : 4,710.38 = 4,710.38 : x
2. Step 2: Convert to fraction form
   2,122.31/4,710.38 = 4,710.38/x
3. Step 3: Cross multiply
   2,122.31x = 4,710.38 × 4,710.38
4. Step 4: Simplify right side
   2,122.31x = 22,187,632.64
5. Step 5: Solve for x
   x = 22,187,632.64/2,122.31
6. Step 6: Final answer
   x = 10,454.46