Finding the Third Proportional to 766.90 and 1,095.47

Step by Step Solution

1. Step 1: Write the proportion equation
   766.90 : 1,095.47 = 1,095.47 : x
2. Step 2: Convert to fraction form
   766.90/1,095.47 = 1,095.47/x
3. Step 3: Cross multiply
   766.90x = 1,095.47 × 1,095.47
4. Step 4: Simplify right side
   766.90x = 1,200,051.78
5. Step 5: Solve for x
   x = 1,200,051.78/766.90
6. Step 6: Final answer
   x = 1,564.81