Finding the Third Proportional to 2,696.25 and 5,835.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,696.25 : 5,835.75 = 5,835.75 : x
2. Step 2: Convert to fraction form
   2,696.25/5,835.75 = 5,835.75/x
3. Step 3: Cross multiply
   2,696.25x = 5,835.75 × 5,835.75
4. Step 4: Simplify right side
   2,696.25x = 34,055,978.06
5. Step 5: Solve for x
   x = 34,055,978.06/2,696.25
6. Step 6: Final answer
   x = 12,630.87