Finding the Third Proportional to 1,106.81 and 1,222.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.81 : 1,222.13 = 1,222.13 : x
2. Step 2: Convert to fraction form
   1,106.81/1,222.13 = 1,222.13/x
3. Step 3: Cross multiply
   1,106.81x = 1,222.13 × 1,222.13
4. Step 4: Simplify right side
   1,106.81x = 1,493,589.52
5. Step 5: Solve for x
   x = 1,493,589.52/1,106.81
6. Step 6: Final answer
   x = 1,349.45