Finding the Third Proportional to 35,777.25 and 80,681.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,777.25 : 80,681.63 = 80,681.63 : x
2. Step 2: Convert to fraction form
   35,777.25/80,681.63 = 80,681.63/x
3. Step 3: Cross multiply
   35,777.25x = 80,681.63 × 80,681.63
4. Step 4: Simplify right side
   35,777.25x = 6,509,524,612.64
5. Step 5: Solve for x
   x = 6,509,524,612.64/35,777.25
6. Step 6: Final answer
   x = 181,945.92