Finding the Third Proportional to 769.50 and 1,051.31

Step by Step Solution

1. Step 1: Write the proportion equation
   769.50 : 1,051.31 = 1,051.31 : x
2. Step 2: Convert to fraction form
   769.50/1,051.31 = 1,051.31/x
3. Step 3: Cross multiply
   769.50x = 1,051.31 × 1,051.31
4. Step 4: Simplify right side
   769.50x = 1,105,257.97
5. Step 5: Solve for x
   x = 1,105,257.97/769.50
6. Step 6: Final answer
   x = 1,436.33