Finding the Third Proportional to 20,083 and 42,428

Step by Step Solution

1. Step 1: Write the proportion equation
   20,083 : 42,428 = 42,428 : x
2. Step 2: Convert to fraction form
   20,083/42,428 = 42,428/x
3. Step 3: Cross multiply
   20,083x = 42,428 × 42,428
4. Step 4: Simplify right side
   20,083x = 1,800,135,184
5. Step 5: Solve for x
   x = 1,800,135,184/20,083
6. Step 6: Final answer
   x = 89,634.77