Finding the Third Proportional to 30,416 and 65,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,416 : 65,034.50 = 65,034.50 : x
2. Step 2: Convert to fraction form
   30,416/65,034.50 = 65,034.50/x
3. Step 3: Cross multiply
   30,416x = 65,034.50 × 65,034.50
4. Step 4: Simplify right side
   30,416x = 4,229,486,190.25
5. Step 5: Solve for x
   x = 4,229,486,190.25/30,416
6. Step 6: Final answer
   x = 139,054.65