Finding the Third Proportional to 6,084 and 12,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,084 : 12,826.50 = 12,826.50 : x
2. Step 2: Convert to fraction form
   6,084/12,826.50 = 12,826.50/x
3. Step 3: Cross multiply
   6,084x = 12,826.50 × 12,826.50
4. Step 4: Simplify right side
   6,084x = 164,519,102.25
5. Step 5: Solve for x
   x = 164,519,102.25/6,084
6. Step 6: Final answer
   x = 27,041.27