Finding the Third Proportional to 9,688 and 21,320

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688 : 21,320 = 21,320 : x
2. Step 2: Convert to fraction form
   9,688/21,320 = 21,320/x
3. Step 3: Cross multiply
   9,688x = 21,320 × 21,320
4. Step 4: Simplify right side
   9,688x = 454,542,400
5. Step 5: Solve for x
   x = 454,542,400/9,688
6. Step 6: Final answer
   x = 46,918.08