Finding the Third Proportional to 31,597 and 49,289

Step by Step Solution

1. Step 1: Write the proportion equation
   31,597 : 49,289 = 49,289 : x
2. Step 2: Convert to fraction form
   31,597/49,289 = 49,289/x
3. Step 3: Cross multiply
   31,597x = 49,289 × 49,289
4. Step 4: Simplify right side
   31,597x = 2,429,405,521
5. Step 5: Solve for x
   x = 2,429,405,521/31,597
6. Step 6: Final answer
   x = 76,887.22