Finding the Third Proportional to 30,690 and 65,748

Step by Step Solution

1. Step 1: Write the proportion equation
   30,690 : 65,748 = 65,748 : x
2. Step 2: Convert to fraction form
   30,690/65,748 = 65,748/x
3. Step 3: Cross multiply
   30,690x = 65,748 × 65,748
4. Step 4: Simplify right side
   30,690x = 4,322,799,504
5. Step 5: Solve for x
   x = 4,322,799,504/30,690
6. Step 6: Final answer
   x = 140,853.68