Finding the Third Proportional to 31,705 and 49,064

Step by Step Solution

1. Step 1: Write the proportion equation
   31,705 : 49,064 = 49,064 : x
2. Step 2: Convert to fraction form
   31,705/49,064 = 49,064/x
3. Step 3: Cross multiply
   31,705x = 49,064 × 49,064
4. Step 4: Simplify right side
   31,705x = 2,407,276,096
5. Step 5: Solve for x
   x = 2,407,276,096/31,705
6. Step 6: Final answer
   x = 75,927.33