Finding the Third Proportional to 5,509.31 and 8,276.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,509.31 : 8,276.06 = 8,276.06 : x
2. Step 2: Convert to fraction form
   5,509.31/8,276.06 = 8,276.06/x
3. Step 3: Cross multiply
   5,509.31x = 8,276.06 × 8,276.06
4. Step 4: Simplify right side
   5,509.31x = 68,493,210.50
5. Step 5: Solve for x
   x = 68,493,210.50/5,509.31
6. Step 6: Final answer
   x = 12,432.26