Finding the Third Proportional to 11,376 and 23,536

Step by Step Solution

1. Step 1: Write the proportion equation
   11,376 : 23,536 = 23,536 : x
2. Step 2: Convert to fraction form
   11,376/23,536 = 23,536/x
3. Step 3: Cross multiply
   11,376x = 23,536 × 23,536
4. Step 4: Simplify right side
   11,376x = 553,943,296
5. Step 5: Solve for x
   x = 553,943,296/11,376
6. Step 6: Final answer
   x = 48,694.03