Finding the Third Proportional to 59,684 and 83,666

Step by Step Solution

1. Step 1: Write the proportion equation
   59,684 : 83,666 = 83,666 : x
2. Step 2: Convert to fraction form
   59,684/83,666 = 83,666/x
3. Step 3: Cross multiply
   59,684x = 83,666 × 83,666
4. Step 4: Simplify right side
   59,684x = 6,999,999,556
5. Step 5: Solve for x
   x = 6,999,999,556/59,684
6. Step 6: Final answer
   x = 117,284.36