Finding the Third Proportional to 2,655.84 and 5,835.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,655.84 : 5,835.94 = 5,835.94 : x
2. Step 2: Convert to fraction form
   2,655.84/5,835.94 = 5,835.94/x
3. Step 3: Cross multiply
   2,655.84x = 5,835.94 × 5,835.94
4. Step 4: Simplify right side
   2,655.84x = 34,058,166.50
5. Step 5: Solve for x
   x = 34,058,166.50/2,655.84
6. Step 6: Final answer
   x = 12,823.86