Finding the Third Proportional to 30,757.50 and 65,343

Step by Step Solution

1. Step 1: Write the proportion equation
   30,757.50 : 65,343 = 65,343 : x
2. Step 2: Convert to fraction form
   30,757.50/65,343 = 65,343/x
3. Step 3: Cross multiply
   30,757.50x = 65,343 × 65,343
4. Step 4: Simplify right side
   30,757.50x = 4,269,707,649
5. Step 5: Solve for x
   x = 4,269,707,649/30,757.50
6. Step 6: Final answer
   x = 138,818.42