Finding the Third Proportional to 795 and 1,269.38

Step by Step Solution

1. Step 1: Write the proportion equation
   795 : 1,269.38 = 1,269.38 : x
2. Step 2: Convert to fraction form
   795/1,269.38 = 1,269.38/x
3. Step 3: Cross multiply
   795x = 1,269.38 × 1,269.38
4. Step 4: Simplify right side
   795x = 1,611,312.89
5. Step 5: Solve for x
   x = 1,611,312.89/795
6. Step 6: Final answer
   x = 2,026.81