Finding the Third Proportional to 30,499.50 and 47,802

Step by Step Solution

1. Step 1: Write the proportion equation
   30,499.50 : 47,802 = 47,802 : x
2. Step 2: Convert to fraction form
   30,499.50/47,802 = 47,802/x
3. Step 3: Cross multiply
   30,499.50x = 47,802 × 47,802
4. Step 4: Simplify right side
   30,499.50x = 2,285,031,204
5. Step 5: Solve for x
   x = 2,285,031,204/30,499.50
6. Step 6: Final answer
   x = 74,920.28