Finding the Third Proportional to 47,309 and 70,970

Step by Step Solution

1. Step 1: Write the proportion equation
   47,309 : 70,970 = 70,970 : x
2. Step 2: Convert to fraction form
   47,309/70,970 = 70,970/x
3. Step 3: Cross multiply
   47,309x = 70,970 × 70,970
4. Step 4: Simplify right side
   47,309x = 5,036,740,900
5. Step 5: Solve for x
   x = 5,036,740,900/47,309
6. Step 6: Final answer
   x = 106,464.75