Finding the Third Proportional to 5,302.13 and 7,453.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,302.13 : 7,453.69 = 7,453.69 : x
2. Step 2: Convert to fraction form
   5,302.13/7,453.69 = 7,453.69/x
3. Step 3: Cross multiply
   5,302.13x = 7,453.69 × 7,453.69
4. Step 4: Simplify right side
   5,302.13x = 55,557,457.35
5. Step 5: Solve for x
   x = 55,557,457.35/5,302.13
6. Step 6: Final answer
   x = 10,478.34