Finding the Third Proportional to 39,657 and 57,996

Step by Step Solution

1. Step 1: Write the proportion equation
   39,657 : 57,996 = 57,996 : x
2. Step 2: Convert to fraction form
   39,657/57,996 = 57,996/x
3. Step 3: Cross multiply
   39,657x = 57,996 × 57,996
4. Step 4: Simplify right side
   39,657x = 3,363,536,016
5. Step 5: Solve for x
   x = 3,363,536,016/39,657
6. Step 6: Final answer
   x = 84,815.69