Finding the Third Proportional to 11,516 and 20,662

Step by Step Solution

1. Step 1: Write the proportion equation
   11,516 : 20,662 = 20,662 : x
2. Step 2: Convert to fraction form
   11,516/20,662 = 20,662/x
3. Step 3: Cross multiply
   11,516x = 20,662 × 20,662
4. Step 4: Simplify right side
   11,516x = 426,918,244
5. Step 5: Solve for x
   x = 426,918,244/11,516
6. Step 6: Final answer
   x = 37,071.75