Finding the Third Proportional to 23,566 and 34,080

Step by Step Solution

1. Step 1: Write the proportion equation
   23,566 : 34,080 = 34,080 : x
2. Step 2: Convert to fraction form
   23,566/34,080 = 34,080/x
3. Step 3: Cross multiply
   23,566x = 34,080 × 34,080
4. Step 4: Simplify right side
   23,566x = 1,161,446,400
5. Step 5: Solve for x
   x = 1,161,446,400/23,566
6. Step 6: Final answer
   x = 49,284.83