Finding the Third Proportional to 1,706.06 and 4,145.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.06 : 4,145.34 = 4,145.34 : x
2. Step 2: Convert to fraction form
   1,706.06/4,145.34 = 4,145.34/x
3. Step 3: Cross multiply
   1,706.06x = 4,145.34 × 4,145.34
4. Step 4: Simplify right side
   1,706.06x = 17,183,874.81
5. Step 5: Solve for x
   x = 17,183,874.81/1,706.06
6. Step 6: Final answer
   x = 10,072.24