Finding the Third Proportional to 21,786 and 32,275

Step by Step Solution

1. Step 1: Write the proportion equation
   21,786 : 32,275 = 32,275 : x
2. Step 2: Convert to fraction form
   21,786/32,275 = 32,275/x
3. Step 3: Cross multiply
   21,786x = 32,275 × 32,275
4. Step 4: Simplify right side
   21,786x = 1,041,675,625
5. Step 5: Solve for x
   x = 1,041,675,625/21,786
6. Step 6: Final answer
   x = 47,813.99