Finding the Third Proportional to 4,802.63 and 7,453.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,802.63 : 7,453.69 = 7,453.69 : x
2. Step 2: Convert to fraction form
   4,802.63/7,453.69 = 7,453.69/x
3. Step 3: Cross multiply
   4,802.63x = 7,453.69 × 7,453.69
4. Step 4: Simplify right side
   4,802.63x = 55,557,457.35
5. Step 5: Solve for x
   x = 55,557,457.35/4,802.63
6. Step 6: Final answer
   x = 11,568.14