Finding the Third Proportional to 13,171 and 17,565

Step by Step Solution

1. Step 1: Write the proportion equation
   13,171 : 17,565 = 17,565 : x
2. Step 2: Convert to fraction form
   13,171/17,565 = 17,565/x
3. Step 3: Cross multiply
   13,171x = 17,565 × 17,565
4. Step 4: Simplify right side
   13,171x = 308,529,225
5. Step 5: Solve for x
   x = 308,529,225/13,171
6. Step 6: Final answer
   x = 23,424.89