Finding the Third Proportional to 30,814 and 45,768

Step by Step Solution

1. Step 1: Write the proportion equation
   30,814 : 45,768 = 45,768 : x
2. Step 2: Convert to fraction form
   30,814/45,768 = 45,768/x
3. Step 3: Cross multiply
   30,814x = 45,768 × 45,768
4. Step 4: Simplify right side
   30,814x = 2,094,709,824
5. Step 5: Solve for x
   x = 2,094,709,824/30,814
6. Step 6: Final answer
   x = 67,979.16