Finding the Third Proportional to 21,606 and 46,584

Step by Step Solution

1. Step 1: Write the proportion equation
   21,606 : 46,584 = 46,584 : x
2. Step 2: Convert to fraction form
   21,606/46,584 = 46,584/x
3. Step 3: Cross multiply
   21,606x = 46,584 × 46,584
4. Step 4: Simplify right side
   21,606x = 2,170,069,056
5. Step 5: Solve for x
   x = 2,170,069,056/21,606
6. Step 6: Final answer
   x = 100,438.26