Finding the Third Proportional to 2,355.94 and 3,635.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,355.94 : 3,635.91 = 3,635.91 : x
2. Step 2: Convert to fraction form
   2,355.94/3,635.91 = 3,635.91/x
3. Step 3: Cross multiply
   2,355.94x = 3,635.91 × 3,635.91
4. Step 4: Simplify right side
   2,355.94x = 13,219,814.26
5. Step 5: Solve for x
   x = 13,219,814.26/2,355.94
6. Step 6: Final answer
   x = 5,611.28