Finding the Third Proportional to 1,106.81 and 2,426.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.81 : 2,426.06 = 2,426.06 : x
2. Step 2: Convert to fraction form
   1,106.81/2,426.06 = 2,426.06/x
3. Step 3: Cross multiply
   1,106.81x = 2,426.06 × 2,426.06
4. Step 4: Simplify right side
   1,106.81x = 5,885,779.25
5. Step 5: Solve for x
   x = 5,885,779.25/1,106.81
6. Step 6: Final answer
   x = 5,317.77