Finding the Third Proportional to 1,772.30 and 3,727.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,772.30 : 3,727.27 = 3,727.27 : x
2. Step 2: Convert to fraction form
   1,772.30/3,727.27 = 3,727.27/x
3. Step 3: Cross multiply
   1,772.30x = 3,727.27 × 3,727.27
4. Step 4: Simplify right side
   1,772.30x = 13,892,509.04
5. Step 5: Solve for x
   x = 13,892,509.04/1,772.30
6. Step 6: Final answer
   x = 7,838.70