Finding the Third Proportional to 21,588 and 32,830

Step by Step Solution

1. Step 1: Write the proportion equation
   21,588 : 32,830 = 32,830 : x
2. Step 2: Convert to fraction form
   21,588/32,830 = 32,830/x
3. Step 3: Cross multiply
   21,588x = 32,830 × 32,830
4. Step 4: Simplify right side
   21,588x = 1,077,808,900
5. Step 5: Solve for x
   x = 1,077,808,900/21,588
6. Step 6: Final answer
   x = 49,926.30