Finding the Third Proportional to 2,142.38 and 4,694.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.38 : 4,694.63 = 4,694.63 : x
2. Step 2: Convert to fraction form
   2,142.38/4,694.63 = 4,694.63/x
3. Step 3: Cross multiply
   2,142.38x = 4,694.63 × 4,694.63
4. Step 4: Simplify right side
   2,142.38x = 22,039,503.89
5. Step 5: Solve for x
   x = 22,039,503.89/2,142.38
6. Step 6: Final answer
   x = 10,287.42