Finding the Third Proportional to 11,564 and 13,148

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 13,148 = 13,148 : x
2. Step 2: Convert to fraction form
   11,564/13,148 = 13,148/x
3. Step 3: Cross multiply
   11,564x = 13,148 × 13,148
4. Step 4: Simplify right side
   11,564x = 172,869,904
5. Step 5: Solve for x
   x = 172,869,904/11,564
6. Step 6: Final answer
   x = 14,948.97