Finding the Third Proportional to 21,590 and 32,406

Step by Step Solution

1. Step 1: Write the proportion equation
   21,590 : 32,406 = 32,406 : x
2. Step 2: Convert to fraction form
   21,590/32,406 = 32,406/x
3. Step 3: Cross multiply
   21,590x = 32,406 × 32,406
4. Step 4: Simplify right side
   21,590x = 1,050,148,836
5. Step 5: Solve for x
   x = 1,050,148,836/21,590
6. Step 6: Final answer
   x = 48,640.52