Finding the Third Proportional to 13,213 and 17,997

Step by Step Solution

1. Step 1: Write the proportion equation
   13,213 : 17,997 = 17,997 : x
2. Step 2: Convert to fraction form
   13,213/17,997 = 17,997/x
3. Step 3: Cross multiply
   13,213x = 17,997 × 17,997
4. Step 4: Simplify right side
   13,213x = 323,892,009
5. Step 5: Solve for x
   x = 323,892,009/13,213
6. Step 6: Final answer
   x = 24,513.13