Finding the Third Proportional to 30,566 and 64,812

Step by Step Solution

1. Step 1: Write the proportion equation
   30,566 : 64,812 = 64,812 : x
2. Step 2: Convert to fraction form
   30,566/64,812 = 64,812/x
3. Step 3: Cross multiply
   30,566x = 64,812 × 64,812
4. Step 4: Simplify right side
   30,566x = 4,200,595,344
5. Step 5: Solve for x
   x = 4,200,595,344/30,566
6. Step 6: Final answer
   x = 137,427.05