Finding the Third Proportional to 5,224.13 and 7,322.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,224.13 : 7,322.06 = 7,322.06 : x
2. Step 2: Convert to fraction form
   5,224.13/7,322.06 = 7,322.06/x
3. Step 3: Cross multiply
   5,224.13x = 7,322.06 × 7,322.06
4. Step 4: Simplify right side
   5,224.13x = 53,612,599.25
5. Step 5: Solve for x
   x = 53,612,599.25/5,224.13
6. Step 6: Final answer
   x = 10,262.50