Finding the Third Proportional to 34,083 and 71,298

Step by Step Solution

1. Step 1: Write the proportion equation
   34,083 : 71,298 = 71,298 : x
2. Step 2: Convert to fraction form
   34,083/71,298 = 71,298/x
3. Step 3: Cross multiply
   34,083x = 71,298 × 71,298
4. Step 4: Simplify right side
   34,083x = 5,083,404,804
5. Step 5: Solve for x
   x = 5,083,404,804/34,083
6. Step 6: Final answer
   x = 149,147.81