Finding the Third Proportional to 30,624 and 56,874

Step by Step Solution

1. Step 1: Write the proportion equation
   30,624 : 56,874 = 56,874 : x
2. Step 2: Convert to fraction form
   30,624/56,874 = 56,874/x
3. Step 3: Cross multiply
   30,624x = 56,874 × 56,874
4. Step 4: Simplify right side
   30,624x = 3,234,651,876
5. Step 5: Solve for x
   x = 3,234,651,876/30,624
6. Step 6: Final answer
   x = 105,624.73