Finding the Third Proportional to 21,384 and 41,608.69

Step by Step Solution

1. Step 1: Write the proportion equation
   21,384 : 41,608.69 = 41,608.69 : x
2. Step 2: Convert to fraction form
   21,384/41,608.69 = 41,608.69/x
3. Step 3: Cross multiply
   21,384x = 41,608.69 × 41,608.69
4. Step 4: Simplify right side
   21,384x = 1,731,282,875.47
5. Step 5: Solve for x
   x = 1,731,282,875.47/21,384
6. Step 6: Final answer
   x = 80,961.60