Finding the Third Proportional to 30,013.50 and 64,401.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,013.50 : 64,401.75 = 64,401.75 : x
2. Step 2: Convert to fraction form
   30,013.50/64,401.75 = 64,401.75/x
3. Step 3: Cross multiply
   30,013.50x = 64,401.75 × 64,401.75
4. Step 4: Simplify right side
   30,013.50x = 4,147,585,403.06
5. Step 5: Solve for x
   x = 4,147,585,403.06/30,013.50
6. Step 6: Final answer
   x = 138,190.66