Finding the Third Proportional to 9,146 and 19,588

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146 : 19,588 = 19,588 : x
2. Step 2: Convert to fraction form
   9,146/19,588 = 19,588/x
3. Step 3: Cross multiply
   9,146x = 19,588 × 19,588
4. Step 4: Simplify right side
   9,146x = 383,689,744
5. Step 5: Solve for x
   x = 383,689,744/9,146
6. Step 6: Final answer
   x = 41,951.64