Finding the Third Proportional to 3,914.82 and 5,503.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.82 : 5,503.81 = 5,503.81 : x
2. Step 2: Convert to fraction form
   3,914.82/5,503.81 = 5,503.81/x
3. Step 3: Cross multiply
   3,914.82x = 5,503.81 × 5,503.81
4. Step 4: Simplify right side
   3,914.82x = 30,291,898.29
5. Step 5: Solve for x
   x = 30,291,898.29/3,914.82
6. Step 6: Final answer
   x = 7,737.76