Finding the Third Proportional to 5,841.75 and 12,503.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,841.75 : 12,503.25 = 12,503.25 : x
2. Step 2: Convert to fraction form
   5,841.75/12,503.25 = 12,503.25/x
3. Step 3: Cross multiply
   5,841.75x = 12,503.25 × 12,503.25
4. Step 4: Simplify right side
   5,841.75x = 156,331,260.56
5. Step 5: Solve for x
   x = 156,331,260.56/5,841.75
6. Step 6: Final answer
   x = 26,761.03