Finding the Third Proportional to 47,396 and 71,216

Step by Step Solution

1. Step 1: Write the proportion equation
   47,396 : 71,216 = 71,216 : x
2. Step 2: Convert to fraction form
   47,396/71,216 = 71,216/x
3. Step 3: Cross multiply
   47,396x = 71,216 × 71,216
4. Step 4: Simplify right side
   47,396x = 5,071,718,656
5. Step 5: Solve for x
   x = 5,071,718,656/47,396
6. Step 6: Final answer
   x = 107,007.31