Finding the Third Proportional to 21,412.25 and 32,624

Step by Step Solution

1. Step 1: Write the proportion equation
   21,412.25 : 32,624 = 32,624 : x
2. Step 2: Convert to fraction form
   21,412.25/32,624 = 32,624/x
3. Step 3: Cross multiply
   21,412.25x = 32,624 × 32,624
4. Step 4: Simplify right side
   21,412.25x = 1,064,325,376
5. Step 5: Solve for x
   x = 1,064,325,376/21,412.25
6. Step 6: Final answer
   x = 49,706.38