Finding the Third Proportional to 47,664 and 71,406

Step by Step Solution

1. Step 1: Write the proportion equation
   47,664 : 71,406 = 71,406 : x
2. Step 2: Convert to fraction form
   47,664/71,406 = 71,406/x
3. Step 3: Cross multiply
   47,664x = 71,406 × 71,406
4. Step 4: Simplify right side
   47,664x = 5,098,816,836
5. Step 5: Solve for x
   x = 5,098,816,836/47,664
6. Step 6: Final answer
   x = 106,974.17