Finding the Third Proportional to 21,684 and 46,602

Step by Step Solution

1. Step 1: Write the proportion equation
   21,684 : 46,602 = 46,602 : x
2. Step 2: Convert to fraction form
   21,684/46,602 = 46,602/x
3. Step 3: Cross multiply
   21,684x = 46,602 × 46,602
4. Step 4: Simplify right side
   21,684x = 2,171,746,404
5. Step 5: Solve for x
   x = 2,171,746,404/21,684
6. Step 6: Final answer
   x = 100,154.33