Finding the Third Proportional to 1,709.25 and 3,737.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709.25 : 3,737.75 = 3,737.75 : x
2. Step 2: Convert to fraction form
   1,709.25/3,737.75 = 3,737.75/x
3. Step 3: Cross multiply
   1,709.25x = 3,737.75 × 3,737.75
4. Step 4: Simplify right side
   1,709.25x = 13,970,775.06
5. Step 5: Solve for x
   x = 13,970,775.06/1,709.25
6. Step 6: Final answer
   x = 8,173.63