Finding the Third Proportional to 11,688 and 20,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688 : 20,356.50 = 20,356.50 : x
2. Step 2: Convert to fraction form
   11,688/20,356.50 = 20,356.50/x
3. Step 3: Cross multiply
   11,688x = 20,356.50 × 20,356.50
4. Step 4: Simplify right side
   11,688x = 414,387,092.25
5. Step 5: Solve for x
   x = 414,387,092.25/11,688
6. Step 6: Final answer
   x = 35,454.06