Finding the Third Proportional to 42,812 and 56,823

Step by Step Solution

1. Step 1: Write the proportion equation
   42,812 : 56,823 = 56,823 : x
2. Step 2: Convert to fraction form
   42,812/56,823 = 56,823/x
3. Step 3: Cross multiply
   42,812x = 56,823 × 56,823
4. Step 4: Simplify right side
   42,812x = 3,228,853,329
5. Step 5: Solve for x
   x = 3,228,853,329/42,812
6. Step 6: Final answer
   x = 75,419.35