Finding the Third Proportional to 20,196 and 42,840

Step by Step Solution

1. Step 1: Write the proportion equation
   20,196 : 42,840 = 42,840 : x
2. Step 2: Convert to fraction form
   20,196/42,840 = 42,840/x
3. Step 3: Cross multiply
   20,196x = 42,840 × 42,840
4. Step 4: Simplify right side
   20,196x = 1,835,265,600
5. Step 5: Solve for x
   x = 1,835,265,600/20,196
6. Step 6: Final answer
   x = 90,872.73