Finding the Third Proportional to 21,513 and 32,593

Step by Step Solution

1. Step 1: Write the proportion equation
   21,513 : 32,593 = 32,593 : x
2. Step 2: Convert to fraction form
   21,513/32,593 = 32,593/x
3. Step 3: Cross multiply
   21,513x = 32,593 × 32,593
4. Step 4: Simplify right side
   21,513x = 1,062,303,649
5. Step 5: Solve for x
   x = 1,062,303,649/21,513
6. Step 6: Final answer
   x = 49,379.61