Finding the Third Proportional to 11,830 and 18,516

Step by Step Solution

1. Step 1: Write the proportion equation
   11,830 : 18,516 = 18,516 : x
2. Step 2: Convert to fraction form
   11,830/18,516 = 18,516/x
3. Step 3: Cross multiply
   11,830x = 18,516 × 18,516
4. Step 4: Simplify right side
   11,830x = 342,842,256
5. Step 5: Solve for x
   x = 342,842,256/11,830
6. Step 6: Final answer
   x = 28,980.75