Finding the Third Proportional to 8,146 and 17,588

Step by Step Solution

1. Step 1: Write the proportion equation
   8,146 : 17,588 = 17,588 : x
2. Step 2: Convert to fraction form
   8,146/17,588 = 17,588/x
3. Step 3: Cross multiply
   8,146x = 17,588 × 17,588
4. Step 4: Simplify right side
   8,146x = 309,337,744
5. Step 5: Solve for x
   x = 309,337,744/8,146
6. Step 6: Final answer
   x = 37,974.19