Finding the Third Proportional to 1,727.58 and 3,762.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,727.58 : 3,762.70 = 3,762.70 : x
2. Step 2: Convert to fraction form
   1,727.58/3,762.70 = 3,762.70/x
3. Step 3: Cross multiply
   1,727.58x = 3,762.70 × 3,762.70
4. Step 4: Simplify right side
   1,727.58x = 14,157,934.81
5. Step 5: Solve for x
   x = 14,157,934.81/1,727.58
6. Step 6: Final answer
   x = 8,195.25