Finding the Third Proportional to 4,619.61 and 7,238.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,619.61 : 7,238.56 = 7,238.56 : x
2. Step 2: Convert to fraction form
   4,619.61/7,238.56 = 7,238.56/x
3. Step 3: Cross multiply
   4,619.61x = 7,238.56 × 7,238.56
4. Step 4: Simplify right side
   4,619.61x = 52,396,811.81
5. Step 5: Solve for x
   x = 52,396,811.81/4,619.61
6. Step 6: Final answer
   x = 11,342.26