Finding the Third Proportional to 22,672 and 46,496

Step by Step Solution

1. Step 1: Write the proportion equation
   22,672 : 46,496 = 46,496 : x
2. Step 2: Convert to fraction form
   22,672/46,496 = 46,496/x
3. Step 3: Cross multiply
   22,672x = 46,496 × 46,496
4. Step 4: Simplify right side
   22,672x = 2,161,878,016
5. Step 5: Solve for x
   x = 2,161,878,016/22,672
6. Step 6: Final answer
   x = 95,354.53