Finding the Third Proportional to 17,896 and 41,599

Step by Step Solution

1. Step 1: Write the proportion equation
   17,896 : 41,599 = 41,599 : x
2. Step 2: Convert to fraction form
   17,896/41,599 = 41,599/x
3. Step 3: Cross multiply
   17,896x = 41,599 × 41,599
4. Step 4: Simplify right side
   17,896x = 1,730,476,801
5. Step 5: Solve for x
   x = 1,730,476,801/17,896
6. Step 6: Final answer
   x = 96,696.29