Finding the Third Proportional to 20,184 and 42,216

Step by Step Solution

1. Step 1: Write the proportion equation
   20,184 : 42,216 = 42,216 : x
2. Step 2: Convert to fraction form
   20,184/42,216 = 42,216/x
3. Step 3: Cross multiply
   20,184x = 42,216 × 42,216
4. Step 4: Simplify right side
   20,184x = 1,782,190,656
5. Step 5: Solve for x
   x = 1,782,190,656/20,184
6. Step 6: Final answer
   x = 88,297.20