Finding the Third Proportional to 772.17 and 1,100.53

Step by Step Solution

1. Step 1: Write the proportion equation
   772.17 : 1,100.53 = 1,100.53 : x
2. Step 2: Convert to fraction form
   772.17/1,100.53 = 1,100.53/x
3. Step 3: Cross multiply
   772.17x = 1,100.53 × 1,100.53
4. Step 4: Simplify right side
   772.17x = 1,211,169.03
5. Step 5: Solve for x
   x = 1,211,169.03/772.17
6. Step 6: Final answer
   x = 1,568.52