Finding the Third Proportional to 29,996 and 64,670

Step by Step Solution

1. Step 1: Write the proportion equation
   29,996 : 64,670 = 64,670 : x
2. Step 2: Convert to fraction form
   29,996/64,670 = 64,670/x
3. Step 3: Cross multiply
   29,996x = 64,670 × 64,670
4. Step 4: Simplify right side
   29,996x = 4,182,208,900
5. Step 5: Solve for x
   x = 4,182,208,900/29,996
6. Step 6: Final answer
   x = 139,425.55