Finding the Third Proportional to 47,071 and 71,710

Step by Step Solution

1. Step 1: Write the proportion equation
   47,071 : 71,710 = 71,710 : x
2. Step 2: Convert to fraction form
   47,071/71,710 = 71,710/x
3. Step 3: Cross multiply
   47,071x = 71,710 × 71,710
4. Step 4: Simplify right side
   47,071x = 5,142,324,100
5. Step 5: Solve for x
   x = 5,142,324,100/47,071
6. Step 6: Final answer
   x = 109,246.12