Finding the Third Proportional to 32,096 and 49,890

Step by Step Solution

1. Step 1: Write the proportion equation
   32,096 : 49,890 = 49,890 : x
2. Step 2: Convert to fraction form
   32,096/49,890 = 49,890/x
3. Step 3: Cross multiply
   32,096x = 49,890 × 49,890
4. Step 4: Simplify right side
   32,096x = 2,489,012,100
5. Step 5: Solve for x
   x = 2,489,012,100/32,096
6. Step 6: Final answer
   x = 77,548.98