Finding the Third Proportional to 11,558 and 16,516

Step by Step Solution

1. Step 1: Write the proportion equation
   11,558 : 16,516 = 16,516 : x
2. Step 2: Convert to fraction form
   11,558/16,516 = 16,516/x
3. Step 3: Cross multiply
   11,558x = 16,516 × 16,516
4. Step 4: Simplify right side
   11,558x = 272,778,256
5. Step 5: Solve for x
   x = 272,778,256/11,558
6. Step 6: Final answer
   x = 23,600.82