Finding the Third Proportional to 769.50 and 1,046.25

Step by Step Solution

1. Step 1: Write the proportion equation
   769.50 : 1,046.25 = 1,046.25 : x
2. Step 2: Convert to fraction form
   769.50/1,046.25 = 1,046.25/x
3. Step 3: Cross multiply
   769.50x = 1,046.25 × 1,046.25
4. Step 4: Simplify right side
   769.50x = 1,094,639.06
5. Step 5: Solve for x
   x = 1,094,639.06/769.50
6. Step 6: Final answer
   x = 1,422.53