Finding the Third Proportional to 3,588.05 and 7,842.45

Step by Step Solution

1. Step 1: Write the proportion equation
   3,588.05 : 7,842.45 = 7,842.45 : x
2. Step 2: Convert to fraction form
   3,588.05/7,842.45 = 7,842.45/x
3. Step 3: Cross multiply
   3,588.05x = 7,842.45 × 7,842.45
4. Step 4: Simplify right side
   3,588.05x = 61,503,948.48
5. Step 5: Solve for x
   x = 61,503,948.48/3,588.05
6. Step 6: Final answer
   x = 17,141.34