Finding the Third Proportional to 21,648 and 46,584

Step by Step Solution

1. Step 1: Write the proportion equation
   21,648 : 46,584 = 46,584 : x
2. Step 2: Convert to fraction form
   21,648/46,584 = 46,584/x
3. Step 3: Cross multiply
   21,648x = 46,584 × 46,584
4. Step 4: Simplify right side
   21,648x = 2,170,069,056
5. Step 5: Solve for x
   x = 2,170,069,056/21,648
6. Step 6: Final answer
   x = 100,243.40