Finding the Third Proportional to 1,705.50 and 3,738.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.50 : 3,738.38 = 3,738.38 : x
2. Step 2: Convert to fraction form
   1,705.50/3,738.38 = 3,738.38/x
3. Step 3: Cross multiply
   1,705.50x = 3,738.38 × 3,738.38
4. Step 4: Simplify right side
   1,705.50x = 13,975,447.64
5. Step 5: Solve for x
   x = 13,975,447.64/1,705.50
6. Step 6: Final answer
   x = 8,194.34