Finding the Third Proportional to 5,206.13 and 8,069.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,206.13 : 8,069.63 = 8,069.63 : x
2. Step 2: Convert to fraction form
   5,206.13/8,069.63 = 8,069.63/x
3. Step 3: Cross multiply
   5,206.13x = 8,069.63 × 8,069.63
4. Step 4: Simplify right side
   5,206.13x = 65,118,847.64
5. Step 5: Solve for x
   x = 65,118,847.64/5,206.13
6. Step 6: Final answer
   x = 12,508.12