Finding the Third Proportional to 21,782 and 32,586

Step by Step Solution

1. Step 1: Write the proportion equation
   21,782 : 32,586 = 32,586 : x
2. Step 2: Convert to fraction form
   21,782/32,586 = 32,586/x
3. Step 3: Cross multiply
   21,782x = 32,586 × 32,586
4. Step 4: Simplify right side
   21,782x = 1,061,847,396
5. Step 5: Solve for x
   x = 1,061,847,396/21,782
6. Step 6: Final answer
   x = 48,748.85