Finding the Third Proportional to 2,327.25 and 5,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,327.25 : 5,026.50 = 5,026.50 : x
2. Step 2: Convert to fraction form
   2,327.25/5,026.50 = 5,026.50/x
3. Step 3: Cross multiply
   2,327.25x = 5,026.50 × 5,026.50
4. Step 4: Simplify right side
   2,327.25x = 25,265,702.25
5. Step 5: Solve for x
   x = 25,265,702.25/2,327.25
6. Step 6: Final answer
   x = 10,856.46