Finding the Third Proportional to 5,099.63 and 7,800.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,099.63 : 7,800.75 = 7,800.75 : x
2. Step 2: Convert to fraction form
   5,099.63/7,800.75 = 7,800.75/x
3. Step 3: Cross multiply
   5,099.63x = 7,800.75 × 7,800.75
4. Step 4: Simplify right side
   5,099.63x = 60,851,700.56
5. Step 5: Solve for x
   x = 60,851,700.56/5,099.63
6. Step 6: Final answer
   x = 11,932.58