Finding the Third Proportional to 1,709.86 and 3,744.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709.86 : 3,744.35 = 3,744.35 : x
2. Step 2: Convert to fraction form
   1,709.86/3,744.35 = 3,744.35/x
3. Step 3: Cross multiply
   1,709.86x = 3,744.35 × 3,744.35
4. Step 4: Simplify right side
   1,709.86x = 14,020,168.62
5. Step 5: Solve for x
   x = 14,020,168.62/1,709.86
6. Step 6: Final answer
   x = 8,199.60