Finding the Third Proportional to 23,795 and 35,632

Step by Step Solution

1. Step 1: Write the proportion equation
   23,795 : 35,632 = 35,632 : x
2. Step 2: Convert to fraction form
   23,795/35,632 = 35,632/x
3. Step 3: Cross multiply
   23,795x = 35,632 × 35,632
4. Step 4: Simplify right side
   23,795x = 1,269,639,424
5. Step 5: Solve for x
   x = 1,269,639,424/23,795
6. Step 6: Final answer
   x = 53,357.40