Finding the Third Proportional to 20,022.50 and 41,624

Step by Step Solution

1. Step 1: Write the proportion equation
   20,022.50 : 41,624 = 41,624 : x
2. Step 2: Convert to fraction form
   20,022.50/41,624 = 41,624/x
3. Step 3: Cross multiply
   20,022.50x = 41,624 × 41,624
4. Step 4: Simplify right side
   20,022.50x = 1,732,557,376
5. Step 5: Solve for x
   x = 1,732,557,376/20,022.50
6. Step 6: Final answer
   x = 86,530.52