Finding the Third Proportional to 21,434 and 46,142

Step by Step Solution

1. Step 1: Write the proportion equation
   21,434 : 46,142 = 46,142 : x
2. Step 2: Convert to fraction form
   21,434/46,142 = 46,142/x
3. Step 3: Cross multiply
   21,434x = 46,142 × 46,142
4. Step 4: Simplify right side
   21,434x = 2,129,084,164
5. Step 5: Solve for x
   x = 2,129,084,164/21,434
6. Step 6: Final answer
   x = 99,332.10