Finding the Third Proportional to 31,662 and 47,005

Step by Step Solution

1. Step 1: Write the proportion equation
   31,662 : 47,005 = 47,005 : x
2. Step 2: Convert to fraction form
   31,662/47,005 = 47,005/x
3. Step 3: Cross multiply
   31,662x = 47,005 × 47,005
4. Step 4: Simplify right side
   31,662x = 2,209,470,025
5. Step 5: Solve for x
   x = 2,209,470,025/31,662
6. Step 6: Final answer
   x = 69,783.02