Finding the Third Proportional to 21,381 and 32,166

Step by Step Solution

1. Step 1: Write the proportion equation
   21,381 : 32,166 = 32,166 : x
2. Step 2: Convert to fraction form
   21,381/32,166 = 32,166/x
3. Step 3: Cross multiply
   21,381x = 32,166 × 32,166
4. Step 4: Simplify right side
   21,381x = 1,034,651,556
5. Step 5: Solve for x
   x = 1,034,651,556/21,381
6. Step 6: Final answer
   x = 48,391.17