Finding the Third Proportional to 30,369 and 65,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,369 : 65,197.50 = 65,197.50 : x
2. Step 2: Convert to fraction form
   30,369/65,197.50 = 65,197.50/x
3. Step 3: Cross multiply
   30,369x = 65,197.50 × 65,197.50
4. Step 4: Simplify right side
   30,369x = 4,250,714,006.25
5. Step 5: Solve for x
   x = 4,250,714,006.25/30,369
6. Step 6: Final answer
   x = 139,968.85