Finding the Third Proportional to 30,496 and 42,718

Step by Step Solution

1. Step 1: Write the proportion equation
   30,496 : 42,718 = 42,718 : x
2. Step 2: Convert to fraction form
   30,496/42,718 = 42,718/x
3. Step 3: Cross multiply
   30,496x = 42,718 × 42,718
4. Step 4: Simplify right side
   30,496x = 1,824,827,524
5. Step 5: Solve for x
   x = 1,824,827,524/30,496
6. Step 6: Final answer
   x = 59,838.26