Finding the Third Proportional to 4,819.50 and 7,077.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,819.50 : 7,077.38 = 7,077.38 : x
2. Step 2: Convert to fraction form
   4,819.50/7,077.38 = 7,077.38/x
3. Step 3: Cross multiply
   4,819.50x = 7,077.38 × 7,077.38
4. Step 4: Simplify right side
   4,819.50x = 50,089,236.89
5. Step 5: Solve for x
   x = 50,089,236.89/4,819.50
6. Step 6: Final answer
   x = 10,393.04