Finding the Third Proportional to 746.25 and 1,153.69

Step by Step Solution

1. Step 1: Write the proportion equation
   746.25 : 1,153.69 = 1,153.69 : x
2. Step 2: Convert to fraction form
   746.25/1,153.69 = 1,153.69/x
3. Step 3: Cross multiply
   746.25x = 1,153.69 × 1,153.69
4. Step 4: Simplify right side
   746.25x = 1,330,994.85
5. Step 5: Solve for x
   x = 1,330,994.85/746.25
6. Step 6: Final answer
   x = 1,783.58