Finding the Third Proportional to 10,232 and 21,688

Step by Step Solution

1. Step 1: Write the proportion equation
   10,232 : 21,688 = 21,688 : x
2. Step 2: Convert to fraction form
   10,232/21,688 = 21,688/x
3. Step 3: Cross multiply
   10,232x = 21,688 × 21,688
4. Step 4: Simplify right side
   10,232x = 470,369,344
5. Step 5: Solve for x
   x = 470,369,344/10,232
6. Step 6: Final answer
   x = 45,970.42