Finding the Third Proportional to 21,646 and 32,468

Step by Step Solution

1. Step 1: Write the proportion equation
   21,646 : 32,468 = 32,468 : x
2. Step 2: Convert to fraction form
   21,646/32,468 = 32,468/x
3. Step 3: Cross multiply
   21,646x = 32,468 × 32,468
4. Step 4: Simplify right side
   21,646x = 1,054,171,024
5. Step 5: Solve for x
   x = 1,054,171,024/21,646
6. Step 6: Final answer
   x = 48,700.50