Finding the Third Proportional to 51,951 and 75,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,951 : 75,982.50 = 75,982.50 : x
2. Step 2: Convert to fraction form
   51,951/75,982.50 = 75,982.50/x
3. Step 3: Cross multiply
   51,951x = 75,982.50 × 75,982.50
4. Step 4: Simplify right side
   51,951x = 5,773,340,306.25
5. Step 5: Solve for x
   x = 5,773,340,306.25/51,951
6. Step 6: Final answer
   x = 111,130.49