Finding the Third Proportional to 32,588 and 50,830

Step by Step Solution

1. Step 1: Write the proportion equation
   32,588 : 50,830 = 50,830 : x
2. Step 2: Convert to fraction form
   32,588/50,830 = 50,830/x
3. Step 3: Cross multiply
   32,588x = 50,830 × 50,830
4. Step 4: Simplify right side
   32,588x = 2,583,688,900
5. Step 5: Solve for x
   x = 2,583,688,900/32,588
6. Step 6: Final answer
   x = 79,283.44