Finding the Third Proportional to 1,706.06 and 3,736.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.06 : 3,736.69 = 3,736.69 : x
2. Step 2: Convert to fraction form
   1,706.06/3,736.69 = 3,736.69/x
3. Step 3: Cross multiply
   1,706.06x = 3,736.69 × 3,736.69
4. Step 4: Simplify right side
   1,706.06x = 13,962,833.47
5. Step 5: Solve for x
   x = 13,962,833.47/1,706.06
6. Step 6: Final answer
   x = 8,184.24