Finding the Third Proportional to 30,827 and 49,008

Step by Step Solution

1. Step 1: Write the proportion equation
   30,827 : 49,008 = 49,008 : x
2. Step 2: Convert to fraction form
   30,827/49,008 = 49,008/x
3. Step 3: Cross multiply
   30,827x = 49,008 × 49,008
4. Step 4: Simplify right side
   30,827x = 2,401,784,064
5. Step 5: Solve for x
   x = 2,401,784,064/30,827
6. Step 6: Final answer
   x = 77,911.70