Finding the Third Proportional to 1,937.25 and 3,596.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,937.25 : 3,596.06 = 3,596.06 : x
2. Step 2: Convert to fraction form
   1,937.25/3,596.06 = 3,596.06/x
3. Step 3: Cross multiply
   1,937.25x = 3,596.06 × 3,596.06
4. Step 4: Simplify right side
   1,937.25x = 12,931,665.50
5. Step 5: Solve for x
   x = 12,931,665.50/1,937.25
6. Step 6: Final answer
   x = 6,675.27