Finding the Third Proportional to 31,530 and 47,670

Step by Step Solution

1. Step 1: Write the proportion equation
   31,530 : 47,670 = 47,670 : x
2. Step 2: Convert to fraction form
   31,530/47,670 = 47,670/x
3. Step 3: Cross multiply
   31,530x = 47,670 × 47,670
4. Step 4: Simplify right side
   31,530x = 2,272,428,900
5. Step 5: Solve for x
   x = 2,272,428,900/31,530
6. Step 6: Final answer
   x = 72,071.96