Finding the Third Proportional to 34,096 and 74,384

Step by Step Solution

1. Step 1: Write the proportion equation
   34,096 : 74,384 = 74,384 : x
2. Step 2: Convert to fraction form
   34,096/74,384 = 74,384/x
3. Step 3: Cross multiply
   34,096x = 74,384 × 74,384
4. Step 4: Simplify right side
   34,096x = 5,532,979,456
5. Step 5: Solve for x
   x = 5,532,979,456/34,096
6. Step 6: Final answer
   x = 162,276.50