Finding the Third Proportional to 2,307.94 and 3,659.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,307.94 : 3,659.91 = 3,659.91 : x
2. Step 2: Convert to fraction form
   2,307.94/3,659.91 = 3,659.91/x
3. Step 3: Cross multiply
   2,307.94x = 3,659.91 × 3,659.91
4. Step 4: Simplify right side
   2,307.94x = 13,394,913.76
5. Step 5: Solve for x
   x = 13,394,913.76/2,307.94
6. Step 6: Final answer
   x = 5,803.85