Finding the Third Proportional to 1,012.69 and 1,368.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.69 : 1,368.38 = 1,368.38 : x
2. Step 2: Convert to fraction form
   1,012.69/1,368.38 = 1,368.38/x
3. Step 3: Cross multiply
   1,012.69x = 1,368.38 × 1,368.38
4. Step 4: Simplify right side
   1,012.69x = 1,872,450.14
5. Step 5: Solve for x
   x = 1,872,450.14/1,012.69
6. Step 6: Final answer
   x = 1,848.99