Finding the Third Proportional to 31,650 and 49,204

Step by Step Solution

1. Step 1: Write the proportion equation
   31,650 : 49,204 = 49,204 : x
2. Step 2: Convert to fraction form
   31,650/49,204 = 49,204/x
3. Step 3: Cross multiply
   31,650x = 49,204 × 49,204
4. Step 4: Simplify right side
   31,650x = 2,421,033,616
5. Step 5: Solve for x
   x = 2,421,033,616/31,650
6. Step 6: Final answer
   x = 76,493.95