Finding the Third Proportional to 21,638 and 46,066

Step by Step Solution

1. Step 1: Write the proportion equation
   21,638 : 46,066 = 46,066 : x
2. Step 2: Convert to fraction form
   21,638/46,066 = 46,066/x
3. Step 3: Cross multiply
   21,638x = 46,066 × 46,066
4. Step 4: Simplify right side
   21,638x = 2,122,076,356
5. Step 5: Solve for x
   x = 2,122,076,356/21,638
6. Step 6: Final answer
   x = 98,071.74