Finding the Third Proportional to 2,307.66 and 3,619.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,307.66 : 3,619.69 = 3,619.69 : x
2. Step 2: Convert to fraction form
   2,307.66/3,619.69 = 3,619.69/x
3. Step 3: Cross multiply
   2,307.66x = 3,619.69 × 3,619.69
4. Step 4: Simplify right side
   2,307.66x = 13,102,137.60
5. Step 5: Solve for x
   x = 13,102,137.60/2,307.66
6. Step 6: Final answer
   x = 5,677.68