Finding the Third Proportional to 11,740 and 17,516

Step by Step Solution

1. Step 1: Write the proportion equation
   11,740 : 17,516 = 17,516 : x
2. Step 2: Convert to fraction form
   11,740/17,516 = 17,516/x
3. Step 3: Cross multiply
   11,740x = 17,516 × 17,516
4. Step 4: Simplify right side
   11,740x = 306,810,256
5. Step 5: Solve for x
   x = 306,810,256/11,740
6. Step 6: Final answer
   x = 26,133.75