Finding the Third Proportional to 30,364.50 and 64,029.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,364.50 : 64,029.75 = 64,029.75 : x
2. Step 2: Convert to fraction form
   30,364.50/64,029.75 = 64,029.75/x
3. Step 3: Cross multiply
   30,364.50x = 64,029.75 × 64,029.75
4. Step 4: Simplify right side
   30,364.50x = 4,099,808,885.06
5. Step 5: Solve for x
   x = 4,099,808,885.06/30,364.50
6. Step 6: Final answer
   x = 135,019.81