Finding the Third Proportional to 30,002.50 and 65,655

Step by Step Solution

1. Step 1: Write the proportion equation
   30,002.50 : 65,655 = 65,655 : x
2. Step 2: Convert to fraction form
   30,002.50/65,655 = 65,655/x
3. Step 3: Cross multiply
   30,002.50x = 65,655 × 65,655
4. Step 4: Simplify right side
   30,002.50x = 4,310,579,025
5. Step 5: Solve for x
   x = 4,310,579,025/30,002.50
6. Step 6: Final answer
   x = 143,673.99