Finding the Third Proportional to 21,665 and 47,002

Step by Step Solution

1. Step 1: Write the proportion equation
   21,665 : 47,002 = 47,002 : x
2. Step 2: Convert to fraction form
   21,665/47,002 = 47,002/x
3. Step 3: Cross multiply
   21,665x = 47,002 × 47,002
4. Step 4: Simplify right side
   21,665x = 2,209,188,004
5. Step 5: Solve for x
   x = 2,209,188,004/21,665
6. Step 6: Final answer
   x = 101,970.37