Finding the Third Proportional to 21,642 and 46,740

Step by Step Solution

1. Step 1: Write the proportion equation
   21,642 : 46,740 = 46,740 : x
2. Step 2: Convert to fraction form
   21,642/46,740 = 46,740/x
3. Step 3: Cross multiply
   21,642x = 46,740 × 46,740
4. Step 4: Simplify right side
   21,642x = 2,184,627,600
5. Step 5: Solve for x
   x = 2,184,627,600/21,642
6. Step 6: Final answer
   x = 100,943.89