Finding the Third Proportional to 3,588.05 and 8,434.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,588.05 : 8,434.76 = 8,434.76 : x
2. Step 2: Convert to fraction form
   3,588.05/8,434.76 = 8,434.76/x
3. Step 3: Cross multiply
   3,588.05x = 8,434.76 × 8,434.76
4. Step 4: Simplify right side
   3,588.05x = 71,145,139.36
5. Step 5: Solve for x
   x = 71,145,139.36/3,588.05
6. Step 6: Final answer
   x = 19,828.38