Finding the Third Proportional to 21,644 and 32,466

Step by Step Solution

1. Step 1: Write the proportion equation
   21,644 : 32,466 = 32,466 : x
2. Step 2: Convert to fraction form
   21,644/32,466 = 32,466/x
3. Step 3: Cross multiply
   21,644x = 32,466 × 32,466
4. Step 4: Simplify right side
   21,644x = 1,054,041,156
5. Step 5: Solve for x
   x = 1,054,041,156/21,644
6. Step 6: Final answer
   x = 48,699