Finding the Third Proportional to 23,382 and 35,561

Step by Step Solution

1. Step 1: Write the proportion equation
   23,382 : 35,561 = 35,561 : x
2. Step 2: Convert to fraction form
   23,382/35,561 = 35,561/x
3. Step 3: Cross multiply
   23,382x = 35,561 × 35,561
4. Step 4: Simplify right side
   23,382x = 1,264,584,721
5. Step 5: Solve for x
   x = 1,264,584,721/23,382
6. Step 6: Final answer
   x = 54,083.68