Finding the Third Proportional to 35,822.88 and 75,912.82

Step by Step Solution

1. Step 1: Write the proportion equation
   35,822.88 : 75,912.82 = 75,912.82 : x
2. Step 2: Convert to fraction form
   35,822.88/75,912.82 = 75,912.82/x
3. Step 3: Cross multiply
   35,822.88x = 75,912.82 × 75,912.82
4. Step 4: Simplify right side
   35,822.88x = 5,762,756,287.80
5. Step 5: Solve for x
   x = 5,762,756,287.80/35,822.88
6. Step 6: Final answer
   x = 160,868.02