Finding the Third Proportional to 21,800 and 46,144

Step by Step Solution

1. Step 1: Write the proportion equation
   21,800 : 46,144 = 46,144 : x
2. Step 2: Convert to fraction form
   21,800/46,144 = 46,144/x
3. Step 3: Cross multiply
   21,800x = 46,144 × 46,144
4. Step 4: Simplify right side
   21,800x = 2,129,268,736
5. Step 5: Solve for x
   x = 2,129,268,736/21,800
6. Step 6: Final answer
   x = 97,672.88