Finding the Third Proportional to 59,906 and 65,666

Step by Step Solution

1. Step 1: Write the proportion equation
   59,906 : 65,666 = 65,666 : x
2. Step 2: Convert to fraction form
   59,906/65,666 = 65,666/x
3. Step 3: Cross multiply
   59,906x = 65,666 × 65,666
4. Step 4: Simplify right side
   59,906x = 4,312,023,556
5. Step 5: Solve for x
   x = 4,312,023,556/59,906
6. Step 6: Final answer
   x = 71,979.83