Finding the Third Proportional to 21,308 and 49,769

Step by Step Solution

1. Step 1: Write the proportion equation
   21,308 : 49,769 = 49,769 : x
2. Step 2: Convert to fraction form
   21,308/49,769 = 49,769/x
3. Step 3: Cross multiply
   21,308x = 49,769 × 49,769
4. Step 4: Simplify right side
   21,308x = 2,476,953,361
5. Step 5: Solve for x
   x = 2,476,953,361/21,308
6. Step 6: Final answer
   x = 116,245.23