Finding the Third Proportional to 31,082 and 47,667

Step by Step Solution

1. Step 1: Write the proportion equation
   31,082 : 47,667 = 47,667 : x
2. Step 2: Convert to fraction form
   31,082/47,667 = 47,667/x
3. Step 3: Cross multiply
   31,082x = 47,667 × 47,667
4. Step 4: Simplify right side
   31,082x = 2,272,142,889
5. Step 5: Solve for x
   x = 2,272,142,889/31,082
6. Step 6: Final answer
   x = 73,101.57