Finding the Third Proportional to 30,532 and 65,670

Step by Step Solution

1. Step 1: Write the proportion equation
   30,532 : 65,670 = 65,670 : x
2. Step 2: Convert to fraction form
   30,532/65,670 = 65,670/x
3. Step 3: Cross multiply
   30,532x = 65,670 × 65,670
4. Step 4: Simplify right side
   30,532x = 4,312,548,900
5. Step 5: Solve for x
   x = 4,312,548,900/30,532
6. Step 6: Final answer
   x = 141,246.85