Finding the Third Proportional to 10,688 and 21,374

Step by Step Solution

1. Step 1: Write the proportion equation
   10,688 : 21,374 = 21,374 : x
2. Step 2: Convert to fraction form
   10,688/21,374 = 21,374/x
3. Step 3: Cross multiply
   10,688x = 21,374 × 21,374
4. Step 4: Simplify right side
   10,688x = 456,847,876
5. Step 5: Solve for x
   x = 456,847,876/10,688
6. Step 6: Final answer
   x = 42,744.00