Finding the Third Proportional to 11,688 and 21,588

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688 : 21,588 = 21,588 : x
2. Step 2: Convert to fraction form
   11,688/21,588 = 21,588/x
3. Step 3: Cross multiply
   11,688x = 21,588 × 21,588
4. Step 4: Simplify right side
   11,688x = 466,041,744
5. Step 5: Solve for x
   x = 466,041,744/11,688
6. Step 6: Final answer
   x = 39,873.52