Finding the Third Proportional to 10,196.50 and 22,580

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196.50 : 22,580 = 22,580 : x
2. Step 2: Convert to fraction form
   10,196.50/22,580 = 22,580/x
3. Step 3: Cross multiply
   10,196.50x = 22,580 × 22,580
4. Step 4: Simplify right side
   10,196.50x = 509,856,400
5. Step 5: Solve for x
   x = 509,856,400/10,196.50
6. Step 6: Final answer
   x = 50,003.08