Finding the Third Proportional to 20,942 and 46,012

Step by Step Solution

1. Step 1: Write the proportion equation
   20,942 : 46,012 = 46,012 : x
2. Step 2: Convert to fraction form
   20,942/46,012 = 46,012/x
3. Step 3: Cross multiply
   20,942x = 46,012 × 46,012
4. Step 4: Simplify right side
   20,942x = 2,117,104,144
5. Step 5: Solve for x
   x = 2,117,104,144/20,942
6. Step 6: Final answer
   x = 101,093.69