Finding the Third Proportional to 30,663 and 64,413

Step by Step Solution

1. Step 1: Write the proportion equation
   30,663 : 64,413 = 64,413 : x
2. Step 2: Convert to fraction form
   30,663/64,413 = 64,413/x
3. Step 3: Cross multiply
   30,663x = 64,413 × 64,413
4. Step 4: Simplify right side
   30,663x = 4,149,034,569
5. Step 5: Solve for x
   x = 4,149,034,569/30,663
6. Step 6: Final answer
   x = 135,310.78