Finding the Third Proportional to 30,384 and 50,472

Step by Step Solution

1. Step 1: Write the proportion equation
   30,384 : 50,472 = 50,472 : x
2. Step 2: Convert to fraction form
   30,384/50,472 = 50,472/x
3. Step 3: Cross multiply
   30,384x = 50,472 × 50,472
4. Step 4: Simplify right side
   30,384x = 2,547,422,784
5. Step 5: Solve for x
   x = 2,547,422,784/30,384
6. Step 6: Final answer
   x = 83,840.93