Finding the Third Proportional to 21,681 and 32,338

Step by Step Solution

1. Step 1: Write the proportion equation
   21,681 : 32,338 = 32,338 : x
2. Step 2: Convert to fraction form
   21,681/32,338 = 32,338/x
3. Step 3: Cross multiply
   21,681x = 32,338 × 32,338
4. Step 4: Simplify right side
   21,681x = 1,045,746,244
5. Step 5: Solve for x
   x = 1,045,746,244/21,681
6. Step 6: Final answer
   x = 48,233.30