Finding the Third Proportional to 1,109.06 and 1,706.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.06 : 1,706.72 = 1,706.72 : x
2. Step 2: Convert to fraction form
   1,109.06/1,706.72 = 1,706.72/x
3. Step 3: Cross multiply
   1,109.06x = 1,706.72 × 1,706.72
4. Step 4: Simplify right side
   1,109.06x = 2,912,888.89
5. Step 5: Solve for x
   x = 2,912,888.89/1,109.06
6. Step 6: Final answer
   x = 2,626.44