Finding the Third Proportional to 35,577.50 and 53,600.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,577.50 : 53,600.75 = 53,600.75 : x
2. Step 2: Convert to fraction form
   35,577.50/53,600.75 = 53,600.75/x
3. Step 3: Cross multiply
   35,577.50x = 53,600.75 × 53,600.75
4. Step 4: Simplify right side
   35,577.50x = 2,873,040,400.56
5. Step 5: Solve for x
   x = 2,873,040,400.56/35,577.50
6. Step 6: Final answer
   x = 80,754.42