Finding the Third Proportional to 21,816 and 32,688

Step by Step Solution

1. Step 1: Write the proportion equation
   21,816 : 32,688 = 32,688 : x
2. Step 2: Convert to fraction form
   21,816/32,688 = 32,688/x
3. Step 3: Cross multiply
   21,816x = 32,688 × 32,688
4. Step 4: Simplify right side
   21,816x = 1,068,505,344
5. Step 5: Solve for x
   x = 1,068,505,344/21,816
6. Step 6: Final answer
   x = 48,978.06