Finding the Third Proportional to 59,686 and 83,669

Step by Step Solution

1. Step 1: Write the proportion equation
   59,686 : 83,669 = 83,669 : x
2. Step 2: Convert to fraction form
   59,686/83,669 = 83,669/x
3. Step 3: Cross multiply
   59,686x = 83,669 × 83,669
4. Step 4: Simplify right side
   59,686x = 7,000,501,561
5. Step 5: Solve for x
   x = 7,000,501,561/59,686
6. Step 6: Final answer
   x = 117,288.84