Finding the Third Proportional to 57,976 and 82,711

Step by Step Solution

1. Step 1: Write the proportion equation
   57,976 : 82,711 = 82,711 : x
2. Step 2: Convert to fraction form
   57,976/82,711 = 82,711/x
3. Step 3: Cross multiply
   57,976x = 82,711 × 82,711
4. Step 4: Simplify right side
   57,976x = 6,841,109,521
5. Step 5: Solve for x
   x = 6,841,109,521/57,976
6. Step 6: Final answer
   x = 117,998.99