Finding the Third Proportional to 17,640 and 24,185

Step by Step Solution

1. Step 1: Write the proportion equation
   17,640 : 24,185 = 24,185 : x
2. Step 2: Convert to fraction form
   17,640/24,185 = 24,185/x
3. Step 3: Cross multiply
   17,640x = 24,185 × 24,185
4. Step 4: Simplify right side
   17,640x = 584,914,225
5. Step 5: Solve for x
   x = 584,914,225/17,640
6. Step 6: Final answer
   x = 33,158.40