Finding the Third Proportional to 30,149 and 65,320

Step by Step Solution

1. Step 1: Write the proportion equation
   30,149 : 65,320 = 65,320 : x
2. Step 2: Convert to fraction form
   30,149/65,320 = 65,320/x
3. Step 3: Cross multiply
   30,149x = 65,320 × 65,320
4. Step 4: Simplify right side
   30,149x = 4,266,702,400
5. Step 5: Solve for x
   x = 4,266,702,400/30,149
6. Step 6: Final answer
   x = 141,520.53