Finding the Third Proportional to 21,672 and 46,179

Step by Step Solution

1. Step 1: Write the proportion equation
   21,672 : 46,179 = 46,179 : x
2. Step 2: Convert to fraction form
   21,672/46,179 = 46,179/x
3. Step 3: Cross multiply
   21,672x = 46,179 × 46,179
4. Step 4: Simplify right side
   21,672x = 2,132,500,041
5. Step 5: Solve for x
   x = 2,132,500,041/21,672
6. Step 6: Final answer
   x = 98,398.86