Finding the Third Proportional to 35,193.38 and 76,583.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,193.38 : 76,583.25 = 76,583.25 : x
2. Step 2: Convert to fraction form
   35,193.38/76,583.25 = 76,583.25/x
3. Step 3: Cross multiply
   35,193.38x = 76,583.25 × 76,583.25
4. Step 4: Simplify right side
   35,193.38x = 5,864,994,180.56
5. Step 5: Solve for x
   x = 5,864,994,180.56/35,193.38
6. Step 6: Final answer
   x = 166,650.52