Finding the Third Proportional to 773.75 and 1,051.25

Step by Step Solution

1. Step 1: Write the proportion equation
   773.75 : 1,051.25 = 1,051.25 : x
2. Step 2: Convert to fraction form
   773.75/1,051.25 = 1,051.25/x
3. Step 3: Cross multiply
   773.75x = 1,051.25 × 1,051.25
4. Step 4: Simplify right side
   773.75x = 1,105,126.56
5. Step 5: Solve for x
   x = 1,105,126.56/773.75
6. Step 6: Final answer
   x = 1,428.27