Finding the Third Proportional to 4,635.98 and 7,005.23

Step by Step Solution

1. Step 1: Write the proportion equation
   4,635.98 : 7,005.23 = 7,005.23 : x
2. Step 2: Convert to fraction form
   4,635.98/7,005.23 = 7,005.23/x
3. Step 3: Cross multiply
   4,635.98x = 7,005.23 × 7,005.23
4. Step 4: Simplify right side
   4,635.98x = 49,073,308.65
5. Step 5: Solve for x
   x = 49,073,308.65/4,635.98
6. Step 6: Final answer
   x = 10,585.31