Finding the Third Proportional to 51,841 and 77,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,841 : 77,404.50 = 77,404.50 : x
2. Step 2: Convert to fraction form
   51,841/77,404.50 = 77,404.50/x
3. Step 3: Cross multiply
   51,841x = 77,404.50 × 77,404.50
4. Step 4: Simplify right side
   51,841x = 5,991,456,620.25
5. Step 5: Solve for x
   x = 5,991,456,620.25/51,841
6. Step 6: Final answer
   x = 115,573.71