Finding the Third Proportional to 30,822 and 49,000.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,822 : 49,000.50 = 49,000.50 : x
2. Step 2: Convert to fraction form
   30,822/49,000.50 = 49,000.50/x
3. Step 3: Cross multiply
   30,822x = 49,000.50 × 49,000.50
4. Step 4: Simplify right side
   30,822x = 2,401,049,000.25
5. Step 5: Solve for x
   x = 2,401,049,000.25/30,822
6. Step 6: Final answer
   x = 77,900.49