Finding the Third Proportional to 30,024 and 65,333.25

Step by Step Solution

1. Step 1: Write the proportion equation
   30,024 : 65,333.25 = 65,333.25 : x
2. Step 2: Convert to fraction form
   30,024/65,333.25 = 65,333.25/x
3. Step 3: Cross multiply
   30,024x = 65,333.25 × 65,333.25
4. Step 4: Simplify right side
   30,024x = 4,268,433,555.56
5. Step 5: Solve for x
   x = 4,268,433,555.56/30,024
6. Step 6: Final answer
   x = 142,167.38