Finding the Third Proportional to 32,494 and 49,094

Step by Step Solution

1. Step 1: Write the proportion equation
   32,494 : 49,094 = 49,094 : x
2. Step 2: Convert to fraction form
   32,494/49,094 = 49,094/x
3. Step 3: Cross multiply
   32,494x = 49,094 × 49,094
4. Step 4: Simplify right side
   32,494x = 2,410,220,836
5. Step 5: Solve for x
   x = 2,410,220,836/32,494
6. Step 6: Final answer
   x = 74,174.33