Finding the Third Proportional to 1,106.16 and 2,609.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.16 : 2,609.72 = 2,609.72 : x
2. Step 2: Convert to fraction form
   1,106.16/2,609.72 = 2,609.72/x
3. Step 3: Cross multiply
   1,106.16x = 2,609.72 × 2,609.72
4. Step 4: Simplify right side
   1,106.16x = 6,810,631.95
5. Step 5: Solve for x
   x = 6,810,631.95/1,106.16
6. Step 6: Final answer
   x = 6,157.03