Finding the Third Proportional to 35,226 and 72,780.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,226 : 72,780.75 = 72,780.75 : x
2. Step 2: Convert to fraction form
   35,226/72,780.75 = 72,780.75/x
3. Step 3: Cross multiply
   35,226x = 72,780.75 × 72,780.75
4. Step 4: Simplify right side
   35,226x = 5,297,037,570.56
5. Step 5: Solve for x
   x = 5,297,037,570.56/35,226
6. Step 6: Final answer
   x = 150,372.95