Finding the Third Proportional to 20,460 and 42,224

Step by Step Solution

1. Step 1: Write the proportion equation
   20,460 : 42,224 = 42,224 : x
2. Step 2: Convert to fraction form
   20,460/42,224 = 42,224/x
3. Step 3: Cross multiply
   20,460x = 42,224 × 42,224
4. Step 4: Simplify right side
   20,460x = 1,782,866,176
5. Step 5: Solve for x
   x = 1,782,866,176/20,460
6. Step 6: Final answer
   x = 87,139.11