Finding the Third Proportional to 25,640 and 32,764

Step by Step Solution

1. Step 1: Write the proportion equation
   25,640 : 32,764 = 32,764 : x
2. Step 2: Convert to fraction form
   25,640/32,764 = 32,764/x
3. Step 3: Cross multiply
   25,640x = 32,764 × 32,764
4. Step 4: Simplify right side
   25,640x = 1,073,479,696
5. Step 5: Solve for x
   x = 1,073,479,696/25,640
6. Step 6: Final answer
   x = 41,867.38