Finding the Third Proportional to 30,537 and 64,782

Step by Step Solution

1. Step 1: Write the proportion equation
   30,537 : 64,782 = 64,782 : x
2. Step 2: Convert to fraction form
   30,537/64,782 = 64,782/x
3. Step 3: Cross multiply
   30,537x = 64,782 × 64,782
4. Step 4: Simplify right side
   30,537x = 4,196,707,524
5. Step 5: Solve for x
   x = 4,196,707,524/30,537
6. Step 6: Final answer
   x = 137,430.25