Finding the Third Proportional to 20,099 and 42,454

Step by Step Solution

1. Step 1: Write the proportion equation
   20,099 : 42,454 = 42,454 : x
2. Step 2: Convert to fraction form
   20,099/42,454 = 42,454/x
3. Step 3: Cross multiply
   20,099x = 42,454 × 42,454
4. Step 4: Simplify right side
   20,099x = 1,802,342,116
5. Step 5: Solve for x
   x = 1,802,342,116/20,099
6. Step 6: Final answer
   x = 89,673.22