Finding the Third Proportional to 767.50 and 1,155.25

Step by Step Solution

1. Step 1: Write the proportion equation
   767.50 : 1,155.25 = 1,155.25 : x
2. Step 2: Convert to fraction form
   767.50/1,155.25 = 1,155.25/x
3. Step 3: Cross multiply
   767.50x = 1,155.25 × 1,155.25
4. Step 4: Simplify right side
   767.50x = 1,334,602.56
5. Step 5: Solve for x
   x = 1,334,602.56/767.50
6. Step 6: Final answer
   x = 1,738.90