Finding the Third Proportional to 5,114.81 and 7,470.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,114.81 : 7,470.56 = 7,470.56 : x
2. Step 2: Convert to fraction form
   5,114.81/7,470.56 = 7,470.56/x
3. Step 3: Cross multiply
   5,114.81x = 7,470.56 × 7,470.56
4. Step 4: Simplify right side
   5,114.81x = 55,809,304.07
5. Step 5: Solve for x
   x = 55,809,304.07/5,114.81
6. Step 6: Final answer
   x = 10,911.31