Finding the Third Proportional to 5,477.63 and 7,436.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,477.63 : 7,436.81 = 7,436.81 : x
2. Step 2: Convert to fraction form
   5,477.63/7,436.81 = 7,436.81/x
3. Step 3: Cross multiply
   5,477.63x = 7,436.81 × 7,436.81
4. Step 4: Simplify right side
   5,477.63x = 55,306,180.16
5. Step 5: Solve for x
   x = 55,306,180.16/5,477.63
6. Step 6: Final answer
   x = 10,096.74