Finding the Third Proportional to 3,588.19 and 7,725.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,588.19 : 7,725.94 = 7,725.94 : x
2. Step 2: Convert to fraction form
   3,588.19/7,725.94 = 7,725.94/x
3. Step 3: Cross multiply
   3,588.19x = 7,725.94 × 7,725.94
4. Step 4: Simplify right side
   3,588.19x = 59,690,110.25
5. Step 5: Solve for x
   x = 59,690,110.25/3,588.19
6. Step 6: Final answer
   x = 16,635.17