Finding the Third Proportional to 28,224 and 42,384

Step by Step Solution

1. Step 1: Write the proportion equation
   28,224 : 42,384 = 42,384 : x
2. Step 2: Convert to fraction form
   28,224/42,384 = 42,384/x
3. Step 3: Cross multiply
   28,224x = 42,384 × 42,384
4. Step 4: Simplify right side
   28,224x = 1,796,403,456
5. Step 5: Solve for x
   x = 1,796,403,456/28,224
6. Step 6: Final answer
   x = 63,648.08