Finding the Third Proportional to 47,767 and 71,650

Step by Step Solution

1. Step 1: Write the proportion equation
   47,767 : 71,650 = 71,650 : x
2. Step 2: Convert to fraction form
   47,767/71,650 = 71,650/x
3. Step 3: Cross multiply
   47,767x = 71,650 × 71,650
4. Step 4: Simplify right side
   47,767x = 5,133,722,500
5. Step 5: Solve for x
   x = 5,133,722,500/47,767
6. Step 6: Final answer
   x = 107,474.25