Finding the Third Proportional to 54,182 and 83,727

Step by Step Solution

1. Step 1: Write the proportion equation
   54,182 : 83,727 = 83,727 : x
2. Step 2: Convert to fraction form
   54,182/83,727 = 83,727/x
3. Step 3: Cross multiply
   54,182x = 83,727 × 83,727
4. Step 4: Simplify right side
   54,182x = 7,010,210,529
5. Step 5: Solve for x
   x = 7,010,210,529/54,182
6. Step 6: Final answer
   x = 129,382.65