Finding the Third Proportional to 35,759.25 and 77,141.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,759.25 : 77,141.25 = 77,141.25 : x
2. Step 2: Convert to fraction form
   35,759.25/77,141.25 = 77,141.25/x
3. Step 3: Cross multiply
   35,759.25x = 77,141.25 × 77,141.25
4. Step 4: Simplify right side
   35,759.25x = 5,950,772,451.56
5. Step 5: Solve for x
   x = 5,950,772,451.56/35,759.25
6. Step 6: Final answer
   x = 166,412.12