Finding the Third Proportional to 31,660 and 47,002

Step by Step Solution

1. Step 1: Write the proportion equation
   31,660 : 47,002 = 47,002 : x
2. Step 2: Convert to fraction form
   31,660/47,002 = 47,002/x
3. Step 3: Cross multiply
   31,660x = 47,002 × 47,002
4. Step 4: Simplify right side
   31,660x = 2,209,188,004
5. Step 5: Solve for x
   x = 2,209,188,004/31,660
6. Step 6: Final answer
   x = 69,778.52