Finding the Third Proportional to 30,024 and 65,170.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,024 : 65,170.50 = 65,170.50 : x
2. Step 2: Convert to fraction form
   30,024/65,170.50 = 65,170.50/x
3. Step 3: Cross multiply
   30,024x = 65,170.50 × 65,170.50
4. Step 4: Simplify right side
   30,024x = 4,247,194,070.25
5. Step 5: Solve for x
   x = 4,247,194,070.25/30,024
6. Step 6: Final answer
   x = 141,459.97