Finding the Third Proportional to 5,414.63 and 8,099.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,414.63 : 8,099.88 = 8,099.88 : x
2. Step 2: Convert to fraction form
   5,414.63/8,099.88 = 8,099.88/x
3. Step 3: Cross multiply
   5,414.63x = 8,099.88 × 8,099.88
4. Step 4: Simplify right side
   5,414.63x = 65,607,975.02
5. Step 5: Solve for x
   x = 65,607,975.02/5,414.63
6. Step 6: Final answer
   x = 12,116.81