Finding the Third Proportional to 31,074 and 49,374

Step by Step Solution

1. Step 1: Write the proportion equation
   31,074 : 49,374 = 49,374 : x
2. Step 2: Convert to fraction form
   31,074/49,374 = 49,374/x
3. Step 3: Cross multiply
   31,074x = 49,374 × 49,374
4. Step 4: Simplify right side
   31,074x = 2,437,791,876
5. Step 5: Solve for x
   x = 2,437,791,876/31,074
6. Step 6: Final answer
   x = 78,451.18