Finding the Third Proportional to 35,777.95 and 80,833.57

Step by Step Solution

1. Step 1: Write the proportion equation
   35,777.95 : 80,833.57 = 80,833.57 : x
2. Step 2: Convert to fraction form
   35,777.95/80,833.57 = 80,833.57/x
3. Step 3: Cross multiply
   35,777.95x = 80,833.57 × 80,833.57
4. Step 4: Simplify right side
   35,777.95x = 6,534,066,089.47
5. Step 5: Solve for x
   x = 6,534,066,089.47/35,777.95
6. Step 6: Final answer
   x = 182,628.28