Finding the Third Proportional to 20,398 and 42,106

Step by Step Solution

1. Step 1: Write the proportion equation
   20,398 : 42,106 = 42,106 : x
2. Step 2: Convert to fraction form
   20,398/42,106 = 42,106/x
3. Step 3: Cross multiply
   20,398x = 42,106 × 42,106
4. Step 4: Simplify right side
   20,398x = 1,772,915,236
5. Step 5: Solve for x
   x = 1,772,915,236/20,398
6. Step 6: Final answer
   x = 86,916.13