Finding the Third Proportional to 42,814 and 56,809

Step by Step Solution

1. Step 1: Write the proportion equation
   42,814 : 56,809 = 56,809 : x
2. Step 2: Convert to fraction form
   42,814/56,809 = 56,809/x
3. Step 3: Cross multiply
   42,814x = 56,809 × 56,809
4. Step 4: Simplify right side
   42,814x = 3,227,262,481
5. Step 5: Solve for x
   x = 3,227,262,481/42,814
6. Step 6: Final answer
   x = 75,378.67