Finding the Third Proportional to 849 and 1,302.56

Step by Step Solution

1. Step 1: Write the proportion equation
   849 : 1,302.56 = 1,302.56 : x
2. Step 2: Convert to fraction form
   849/1,302.56 = 1,302.56/x
3. Step 3: Cross multiply
   849x = 1,302.56 × 1,302.56
4. Step 4: Simplify right side
   849x = 1,696,669.07
5. Step 5: Solve for x
   x = 1,696,669.07/849
6. Step 6: Final answer
   x = 1,998.43