Finding the Third Proportional to 17,166 and 25,533

Step by Step Solution

1. Step 1: Write the proportion equation
   17,166 : 25,533 = 25,533 : x
2. Step 2: Convert to fraction form
   17,166/25,533 = 25,533/x
3. Step 3: Cross multiply
   17,166x = 25,533 × 25,533
4. Step 4: Simplify right side
   17,166x = 651,934,089
5. Step 5: Solve for x
   x = 651,934,089/17,166
6. Step 6: Final answer
   x = 37,978.22