Finding the Third Proportional to 31,846 and 49,106

Step by Step Solution

1. Step 1: Write the proportion equation
   31,846 : 49,106 = 49,106 : x
2. Step 2: Convert to fraction form
   31,846/49,106 = 49,106/x
3. Step 3: Cross multiply
   31,846x = 49,106 × 49,106
4. Step 4: Simplify right side
   31,846x = 2,411,399,236
5. Step 5: Solve for x
   x = 2,411,399,236/31,846
6. Step 6: Final answer
   x = 75,720.63