Finding the Third Proportional to 21,142 and 45,952

Step by Step Solution

1. Step 1: Write the proportion equation
   21,142 : 45,952 = 45,952 : x
2. Step 2: Convert to fraction form
   21,142/45,952 = 45,952/x
3. Step 3: Cross multiply
   21,142x = 45,952 × 45,952
4. Step 4: Simplify right side
   21,142x = 2,111,586,304
5. Step 5: Solve for x
   x = 2,111,586,304/21,142
6. Step 6: Final answer
   x = 99,876.37