Finding the Third Proportional to 34,095 and 70,557

Step by Step Solution

1. Step 1: Write the proportion equation
   34,095 : 70,557 = 70,557 : x
2. Step 2: Convert to fraction form
   34,095/70,557 = 70,557/x
3. Step 3: Cross multiply
   34,095x = 70,557 × 70,557
4. Step 4: Simplify right side
   34,095x = 4,978,290,249
5. Step 5: Solve for x
   x = 4,978,290,249/34,095
6. Step 6: Final answer
   x = 146,012.33