Finding the Third Proportional to 57,692 and 86,538

Step by Step Solution

1. Step 1: Write the proportion equation
   57,692 : 86,538 = 86,538 : x
2. Step 2: Convert to fraction form
   57,692/86,538 = 86,538/x
3. Step 3: Cross multiply
   57,692x = 86,538 × 86,538
4. Step 4: Simplify right side
   57,692x = 7,488,825,444
5. Step 5: Solve for x
   x = 7,488,825,444/57,692
6. Step 6: Final answer
   x = 129,807