Finding the Third Proportional to 796.75 and 1,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   796.75 : 1,070.50 = 1,070.50 : x
2. Step 2: Convert to fraction form
   796.75/1,070.50 = 1,070.50/x
3. Step 3: Cross multiply
   796.75x = 1,070.50 × 1,070.50
4. Step 4: Simplify right side
   796.75x = 1,145,970.25
5. Step 5: Solve for x
   x = 1,145,970.25/796.75
6. Step 6: Final answer
   x = 1,438.31