Finding the Third Proportional to 1,012.82 and 1,361.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.82 : 1,361.18 = 1,361.18 : x
2. Step 2: Convert to fraction form
   1,012.82/1,361.18 = 1,361.18/x
3. Step 3: Cross multiply
   1,012.82x = 1,361.18 × 1,361.18
4. Step 4: Simplify right side
   1,012.82x = 1,852,810.14
5. Step 5: Solve for x
   x = 1,852,810.14/1,012.82
6. Step 6: Final answer
   x = 1,829.36