Finding the Third Proportional to 47,684 and 72,140

Step by Step Solution

1. Step 1: Write the proportion equation
   47,684 : 72,140 = 72,140 : x
2. Step 2: Convert to fraction form
   47,684/72,140 = 72,140/x
3. Step 3: Cross multiply
   47,684x = 72,140 × 72,140
4. Step 4: Simplify right side
   47,684x = 5,204,179,600
5. Step 5: Solve for x
   x = 5,204,179,600/47,684
6. Step 6: Final answer
   x = 109,138.91