Finding the Third Proportional to 4,725.84 and 7,426.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,725.84 : 7,426.69 = 7,426.69 : x
2. Step 2: Convert to fraction form
   4,725.84/7,426.69 = 7,426.69/x
3. Step 3: Cross multiply
   4,725.84x = 7,426.69 × 7,426.69
4. Step 4: Simplify right side
   4,725.84x = 55,155,687.22
5. Step 5: Solve for x
   x = 55,155,687.22/4,725.84
6. Step 6: Final answer
   x = 11,671.08