Finding the Third Proportional to 23,658 and 32,895

Step by Step Solution

1. Step 1: Write the proportion equation
   23,658 : 32,895 = 32,895 : x
2. Step 2: Convert to fraction form
   23,658/32,895 = 32,895/x
3. Step 3: Cross multiply
   23,658x = 32,895 × 32,895
4. Step 4: Simplify right side
   23,658x = 1,082,081,025
5. Step 5: Solve for x
   x = 1,082,081,025/23,658
6. Step 6: Final answer
   x = 45,738.48