Finding the Third Proportional to 11,376 and 23,778

Step by Step Solution

1. Step 1: Write the proportion equation
   11,376 : 23,778 = 23,778 : x
2. Step 2: Convert to fraction form
   11,376/23,778 = 23,778/x
3. Step 3: Cross multiply
   11,376x = 23,778 × 23,778
4. Step 4: Simplify right side
   11,376x = 565,393,284
5. Step 5: Solve for x
   x = 565,393,284/11,376
6. Step 6: Final answer
   x = 49,700.53