Finding the Third Proportional to 1,253.81 and 1,902.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,253.81 : 1,902.09 = 1,902.09 : x
2. Step 2: Convert to fraction form
   1,253.81/1,902.09 = 1,902.09/x
3. Step 3: Cross multiply
   1,253.81x = 1,902.09 × 1,902.09
4. Step 4: Simplify right side
   1,253.81x = 3,617,960.63
5. Step 5: Solve for x
   x = 3,617,960.63/1,253.81
6. Step 6: Final answer
   x = 2,885.57