Finding the Third Proportional to 32,096 and 73,791

Step by Step Solution

1. Step 1: Write the proportion equation
   32,096 : 73,791 = 73,791 : x
2. Step 2: Convert to fraction form
   32,096/73,791 = 73,791/x
3. Step 3: Cross multiply
   32,096x = 73,791 × 73,791
4. Step 4: Simplify right side
   32,096x = 5,445,111,681
5. Step 5: Solve for x
   x = 5,445,111,681/32,096
6. Step 6: Final answer
   x = 169,650.79