Finding the Third Proportional to 462.91 and 1,106.69

Step by Step Solution

1. Step 1: Write the proportion equation
   462.91 : 1,106.69 = 1,106.69 : x
2. Step 2: Convert to fraction form
   462.91/1,106.69 = 1,106.69/x
3. Step 3: Cross multiply
   462.91x = 1,106.69 × 1,106.69
4. Step 4: Simplify right side
   462.91x = 1,224,757.22
5. Step 5: Solve for x
   x = 1,224,757.22/462.91
6. Step 6: Final answer
   x = 2,645.80