Finding the Third Proportional to 21,546 and 49,546.69

Step by Step Solution

1. Step 1: Write the proportion equation
   21,546 : 49,546.69 = 49,546.69 : x
2. Step 2: Convert to fraction form
   21,546/49,546.69 = 49,546.69/x
3. Step 3: Cross multiply
   21,546x = 49,546.69 × 49,546.69
4. Step 4: Simplify right side
   21,546x = 2,454,874,242.22
5. Step 5: Solve for x
   x = 2,454,874,242.22/21,546
6. Step 6: Final answer
   x = 113,936.43