Finding the Third Proportional to 30,965 and 45,714

Step by Step Solution

1. Step 1: Write the proportion equation
   30,965 : 45,714 = 45,714 : x
2. Step 2: Convert to fraction form
   30,965/45,714 = 45,714/x
3. Step 3: Cross multiply
   30,965x = 45,714 × 45,714
4. Step 4: Simplify right side
   30,965x = 2,089,769,796
5. Step 5: Solve for x
   x = 2,089,769,796/30,965
6. Step 6: Final answer
   x = 67,488.13