Finding the Third Proportional to 1,231.38 and 1,892.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,231.38 : 1,892.63 = 1,892.63 : x
2. Step 2: Convert to fraction form
   1,231.38/1,892.63 = 1,892.63/x
3. Step 3: Cross multiply
   1,231.38x = 1,892.63 × 1,892.63
4. Step 4: Simplify right side
   1,231.38x = 3,582,029.39
5. Step 5: Solve for x
   x = 3,582,029.39/1,231.38
6. Step 6: Final answer
   x = 2,908.97