Finding the Third Proportional to 17,640 and 25,074

Step by Step Solution

1. Step 1: Write the proportion equation
   17,640 : 25,074 = 25,074 : x
2. Step 2: Convert to fraction form
   17,640/25,074 = 25,074/x
3. Step 3: Cross multiply
   17,640x = 25,074 × 25,074
4. Step 4: Simplify right side
   17,640x = 628,705,476
5. Step 5: Solve for x
   x = 628,705,476/17,640
6. Step 6: Final answer
   x = 35,640.90