Finding the Third Proportional to 5,836.75 and 12,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,836.75 : 12,493.50 = 12,493.50 : x
2. Step 2: Convert to fraction form
   5,836.75/12,493.50 = 12,493.50/x
3. Step 3: Cross multiply
   5,836.75x = 12,493.50 × 12,493.50
4. Step 4: Simplify right side
   5,836.75x = 156,087,542.25
5. Step 5: Solve for x
   x = 156,087,542.25/5,836.75
6. Step 6: Final answer
   x = 26,742.20