Finding the Third Proportional to 20,580 and 30,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,580 : 30,747.50 = 30,747.50 : x
2. Step 2: Convert to fraction form
   20,580/30,747.50 = 30,747.50/x
3. Step 3: Cross multiply
   20,580x = 30,747.50 × 30,747.50
4. Step 4: Simplify right side
   20,580x = 945,408,756.25
5. Step 5: Solve for x
   x = 945,408,756.25/20,580
6. Step 6: Final answer
   x = 45,938.23