Finding the Third Proportional to 61,180 and 82,554

Step by Step Solution

1. Step 1: Write the proportion equation
   61,180 : 82,554 = 82,554 : x
2. Step 2: Convert to fraction form
   61,180/82,554 = 82,554/x
3. Step 3: Cross multiply
   61,180x = 82,554 × 82,554
4. Step 4: Simplify right side
   61,180x = 6,815,162,916
5. Step 5: Solve for x
   x = 6,815,162,916/61,180
6. Step 6: Final answer
   x = 111,395.27