Finding the Third Proportional to 2,127.38 and 5,142.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,127.38 : 5,142.94 = 5,142.94 : x
2. Step 2: Convert to fraction form
   2,127.38/5,142.94 = 5,142.94/x
3. Step 3: Cross multiply
   2,127.38x = 5,142.94 × 5,142.94
4. Step 4: Simplify right side
   2,127.38x = 26,449,806.13
5. Step 5: Solve for x
   x = 26,449,806.13/2,127.38
6. Step 6: Final answer
   x = 12,433.07