Finding the Third Proportional to 23,662 and 35,666

Step by Step Solution

1. Step 1: Write the proportion equation
   23,662 : 35,666 = 35,666 : x
2. Step 2: Convert to fraction form
   23,662/35,666 = 35,666/x
3. Step 3: Cross multiply
   23,662x = 35,666 × 35,666
4. Step 4: Simplify right side
   23,662x = 1,272,063,556
5. Step 5: Solve for x
   x = 1,272,063,556/23,662
6. Step 6: Final answer
   x = 53,759.76