Finding the Third Proportional to 7,543 and 17,834

Step by Step Solution

1. Step 1: Write the proportion equation
   7,543 : 17,834 = 17,834 : x
2. Step 2: Convert to fraction form
   7,543/17,834 = 17,834/x
3. Step 3: Cross multiply
   7,543x = 17,834 × 17,834
4. Step 4: Simplify right side
   7,543x = 318,051,556
5. Step 5: Solve for x
   x = 318,051,556/7,543
6. Step 6: Final answer
   x = 42,165.13