Finding the Third Proportional to 35,280 and 38,784

Step by Step Solution

1. Step 1: Write the proportion equation
   35,280 : 38,784 = 38,784 : x
2. Step 2: Convert to fraction form
   35,280/38,784 = 38,784/x
3. Step 3: Cross multiply
   35,280x = 38,784 × 38,784
4. Step 4: Simplify right side
   35,280x = 1,504,198,656
5. Step 5: Solve for x
   x = 1,504,198,656/35,280
6. Step 6: Final answer
   x = 42,636.02