Finding the Third Proportional to 1,706.06 and 4,109.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.06 : 4,109.91 = 4,109.91 : x
2. Step 2: Convert to fraction form
   1,706.06/4,109.91 = 4,109.91/x
3. Step 3: Cross multiply
   1,706.06x = 4,109.91 × 4,109.91
4. Step 4: Simplify right side
   1,706.06x = 16,891,329.38
5. Step 5: Solve for x
   x = 16,891,329.38/1,706.06
6. Step 6: Final answer
   x = 9,900.77