Finding the Third Proportional to 796.50 and 1,209.94

Step by Step Solution

1. Step 1: Write the proportion equation
   796.50 : 1,209.94 = 1,209.94 : x
2. Step 2: Convert to fraction form
   796.50/1,209.94 = 1,209.94/x
3. Step 3: Cross multiply
   796.50x = 1,209.94 × 1,209.94
4. Step 4: Simplify right side
   796.50x = 1,463,948.75
5. Step 5: Solve for x
   x = 1,463,948.75/796.50
6. Step 6: Final answer
   x = 1,837.98