Finding the Third Proportional to 21,898 and 32,802

Step by Step Solution

1. Step 1: Write the proportion equation
   21,898 : 32,802 = 32,802 : x
2. Step 2: Convert to fraction form
   21,898/32,802 = 32,802/x
3. Step 3: Cross multiply
   21,898x = 32,802 × 32,802
4. Step 4: Simplify right side
   21,898x = 1,075,971,204
5. Step 5: Solve for x
   x = 1,075,971,204/21,898
6. Step 6: Final answer
   x = 49,135.59