Finding the Third Proportional to 21,746 and 32,571

Step by Step Solution

1. Step 1: Write the proportion equation
   21,746 : 32,571 = 32,571 : x
2. Step 2: Convert to fraction form
   21,746/32,571 = 32,571/x
3. Step 3: Cross multiply
   21,746x = 32,571 × 32,571
4. Step 4: Simplify right side
   21,746x = 1,060,870,041
5. Step 5: Solve for x
   x = 1,060,870,041/21,746
6. Step 6: Final answer
   x = 48,784.61