Finding the Third Proportional to 2,696.25 and 5,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,696.25 : 5,893.50 = 5,893.50 : x
2. Step 2: Convert to fraction form
   2,696.25/5,893.50 = 5,893.50/x
3. Step 3: Cross multiply
   2,696.25x = 5,893.50 × 5,893.50
4. Step 4: Simplify right side
   2,696.25x = 34,733,342.25
5. Step 5: Solve for x
   x = 34,733,342.25/2,696.25
6. Step 6: Final answer
   x = 12,882.09