Finding the Third Proportional to 13,464 and 17,964

Step by Step Solution

1. Step 1: Write the proportion equation
   13,464 : 17,964 = 17,964 : x
2. Step 2: Convert to fraction form
   13,464/17,964 = 17,964/x
3. Step 3: Cross multiply
   13,464x = 17,964 × 17,964
4. Step 4: Simplify right side
   13,464x = 322,705,296
5. Step 5: Solve for x
   x = 322,705,296/13,464
6. Step 6: Final answer
   x = 23,968.01