Finding the Third Proportional to 9,476 and 17,746

Step by Step Solution

1. Step 1: Write the proportion equation
   9,476 : 17,746 = 17,746 : x
2. Step 2: Convert to fraction form
   9,476/17,746 = 17,746/x
3. Step 3: Cross multiply
   9,476x = 17,746 × 17,746
4. Step 4: Simplify right side
   9,476x = 314,920,516
5. Step 5: Solve for x
   x = 314,920,516/9,476
6. Step 6: Final answer
   x = 33,233.49