Finding the Third Proportional to 31,788 and 49,249

Step by Step Solution

1. Step 1: Write the proportion equation
   31,788 : 49,249 = 49,249 : x
2. Step 2: Convert to fraction form
   31,788/49,249 = 49,249/x
3. Step 3: Cross multiply
   31,788x = 49,249 × 49,249
4. Step 4: Simplify right side
   31,788x = 2,425,464,001
5. Step 5: Solve for x
   x = 2,425,464,001/31,788
6. Step 6: Final answer
   x = 76,301.25