Finding the Third Proportional to 766.69 and 1,094.06

Step by Step Solution

1. Step 1: Write the proportion equation
   766.69 : 1,094.06 = 1,094.06 : x
2. Step 2: Convert to fraction form
   766.69/1,094.06 = 1,094.06/x
3. Step 3: Cross multiply
   766.69x = 1,094.06 × 1,094.06
4. Step 4: Simplify right side
   766.69x = 1,196,972.75
5. Step 5: Solve for x
   x = 1,196,972.75/766.69
6. Step 6: Final answer
   x = 1,561.23