Finding the Third Proportional to 59,682 and 85,809

Step by Step Solution

1. Step 1: Write the proportion equation
   59,682 : 85,809 = 85,809 : x
2. Step 2: Convert to fraction form
   59,682/85,809 = 85,809/x
3. Step 3: Cross multiply
   59,682x = 85,809 × 85,809
4. Step 4: Simplify right side
   59,682x = 7,363,184,481
5. Step 5: Solve for x
   x = 7,363,184,481/59,682
6. Step 6: Final answer
   x = 123,373.62