Finding the Third Proportional to 2,269.38 and 3,655.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.38 : 3,655.94 = 3,655.94 : x
2. Step 2: Convert to fraction form
   2,269.38/3,655.94 = 3,655.94/x
3. Step 3: Cross multiply
   2,269.38x = 3,655.94 × 3,655.94
4. Step 4: Simplify right side
   2,269.38x = 13,365,879.00
5. Step 5: Solve for x
   x = 13,365,879.00/2,269.38
6. Step 6: Final answer
   x = 5,889.67