Finding the Third Proportional to 30,757 and 65,185

Step by Step Solution

1. Step 1: Write the proportion equation
   30,757 : 65,185 = 65,185 : x
2. Step 2: Convert to fraction form
   30,757/65,185 = 65,185/x
3. Step 3: Cross multiply
   30,757x = 65,185 × 65,185
4. Step 4: Simplify right side
   30,757x = 4,249,084,225
5. Step 5: Solve for x
   x = 4,249,084,225/30,757
6. Step 6: Final answer
   x = 138,150.15