Finding the Third Proportional to 4,770.14 and 10,581.89

Step by Step Solution

1. Step 1: Write the proportion equation
   4,770.14 : 10,581.89 = 10,581.89 : x
2. Step 2: Convert to fraction form
   4,770.14/10,581.89 = 10,581.89/x
3. Step 3: Cross multiply
   4,770.14x = 10,581.89 × 10,581.89
4. Step 4: Simplify right side
   4,770.14x = 111,976,409.20
5. Step 5: Solve for x
   x = 111,976,409.20/4,770.14
6. Step 6: Final answer
   x = 23,474.45