Finding the Third Proportional to 734.63 and 1,100.81

Step by Step Solution

1. Step 1: Write the proportion equation
   734.63 : 1,100.81 = 1,100.81 : x
2. Step 2: Convert to fraction form
   734.63/1,100.81 = 1,100.81/x
3. Step 3: Cross multiply
   734.63x = 1,100.81 × 1,100.81
4. Step 4: Simplify right side
   734.63x = 1,211,788.16
5. Step 5: Solve for x
   x = 1,211,788.16/734.63
6. Step 6: Final answer
   x = 1,649.53