Finding the Third Proportional to 17,588 and 41,516

Step by Step Solution

1. Step 1: Write the proportion equation
   17,588 : 41,516 = 41,516 : x
2. Step 2: Convert to fraction form
   17,588/41,516 = 41,516/x
3. Step 3: Cross multiply
   17,588x = 41,516 × 41,516
4. Step 4: Simplify right side
   17,588x = 1,723,578,256
5. Step 5: Solve for x
   x = 1,723,578,256/17,588
6. Step 6: Final answer
   x = 97,997.40