Finding the Third Proportional to 748.88 and 1,077.94

Step by Step Solution

1. Step 1: Write the proportion equation
   748.88 : 1,077.94 = 1,077.94 : x
2. Step 2: Convert to fraction form
   748.88/1,077.94 = 1,077.94/x
3. Step 3: Cross multiply
   748.88x = 1,077.94 × 1,077.94
4. Step 4: Simplify right side
   748.88x = 1,161,949.25
5. Step 5: Solve for x
   x = 1,161,949.25/748.88
6. Step 6: Final answer
   x = 1,551.59