Finding the Third Proportional to 767 and 1,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   767 : 1,095.50 = 1,095.50 : x
2. Step 2: Convert to fraction form
   767/1,095.50 = 1,095.50/x
3. Step 3: Cross multiply
   767x = 1,095.50 × 1,095.50
4. Step 4: Simplify right side
   767x = 1,200,120.25
5. Step 5: Solve for x
   x = 1,200,120.25/767
6. Step 6: Final answer
   x = 1,564.69