Finding the Third Proportional to 11,526 and 23,774

Step by Step Solution

1. Step 1: Write the proportion equation
   11,526 : 23,774 = 23,774 : x
2. Step 2: Convert to fraction form
   11,526/23,774 = 23,774/x
3. Step 3: Cross multiply
   11,526x = 23,774 × 23,774
4. Step 4: Simplify right side
   11,526x = 565,203,076
5. Step 5: Solve for x
   x = 565,203,076/11,526
6. Step 6: Final answer
   x = 49,037.23