Finding the Third Proportional to 11,376 and 15,111

Step by Step Solution

1. Step 1: Write the proportion equation
   11,376 : 15,111 = 15,111 : x
2. Step 2: Convert to fraction form
   11,376/15,111 = 15,111/x
3. Step 3: Cross multiply
   11,376x = 15,111 × 15,111
4. Step 4: Simplify right side
   11,376x = 228,342,321
5. Step 5: Solve for x
   x = 228,342,321/11,376
6. Step 6: Final answer
   x = 20,072.29