Finding the Third Proportional to 1,705.50 and 3,668.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.50 : 3,668.06 = 3,668.06 : x
2. Step 2: Convert to fraction form
   1,705.50/3,668.06 = 3,668.06/x
3. Step 3: Cross multiply
   1,705.50x = 3,668.06 × 3,668.06
4. Step 4: Simplify right side
   1,705.50x = 13,454,682.50
5. Step 5: Solve for x
   x = 13,454,682.50/1,705.50
6. Step 6: Final answer
   x = 7,889.00