Finding the Third Proportional to 57,973 and 82,680

Step by Step Solution

1. Step 1: Write the proportion equation
   57,973 : 82,680 = 82,680 : x
2. Step 2: Convert to fraction form
   57,973/82,680 = 82,680/x
3. Step 3: Cross multiply
   57,973x = 82,680 × 82,680
4. Step 4: Simplify right side
   57,973x = 6,835,982,400
5. Step 5: Solve for x
   x = 6,835,982,400/57,973
6. Step 6: Final answer
   x = 117,916.66