Finding the Third Proportional to 2,657.25 and 5,798.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.25 : 5,798.25 = 5,798.25 : x
2. Step 2: Convert to fraction form
   2,657.25/5,798.25 = 5,798.25/x
3. Step 3: Cross multiply
   2,657.25x = 5,798.25 × 5,798.25
4. Step 4: Simplify right side
   2,657.25x = 33,619,703.06
5. Step 5: Solve for x
   x = 33,619,703.06/2,657.25
6. Step 6: Final answer
   x = 12,652.07