Finding the Third Proportional to 5,786.75 and 12,461.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,786.75 : 12,461.88 = 12,461.88 : x
2. Step 2: Convert to fraction form
   5,786.75/12,461.88 = 12,461.88/x
3. Step 3: Cross multiply
   5,786.75x = 12,461.88 × 12,461.88
4. Step 4: Simplify right side
   5,786.75x = 155,298,328.52
5. Step 5: Solve for x
   x = 155,298,328.52/5,786.75
6. Step 6: Final answer
   x = 26,836.88