Finding the Third Proportional to 34,128 and 73,806

Step by Step Solution

1. Step 1: Write the proportion equation
   34,128 : 73,806 = 73,806 : x
2. Step 2: Convert to fraction form
   34,128/73,806 = 73,806/x
3. Step 3: Cross multiply
   34,128x = 73,806 × 73,806
4. Step 4: Simplify right side
   34,128x = 5,447,325,636
5. Step 5: Solve for x
   x = 5,447,325,636/34,128
6. Step 6: Final answer
   x = 159,614.56