Finding the Third Proportional to 31,492 and 49,151

Step by Step Solution

1. Step 1: Write the proportion equation
   31,492 : 49,151 = 49,151 : x
2. Step 2: Convert to fraction form
   31,492/49,151 = 49,151/x
3. Step 3: Cross multiply
   31,492x = 49,151 × 49,151
4. Step 4: Simplify right side
   31,492x = 2,415,820,801
5. Step 5: Solve for x
   x = 2,415,820,801/31,492
6. Step 6: Final answer
   x = 76,712.21