Finding the Third Proportional to 30,259.50 and 50,007

Step by Step Solution

1. Step 1: Write the proportion equation
   30,259.50 : 50,007 = 50,007 : x
2. Step 2: Convert to fraction form
   30,259.50/50,007 = 50,007/x
3. Step 3: Cross multiply
   30,259.50x = 50,007 × 50,007
4. Step 4: Simplify right side
   30,259.50x = 2,500,700,049
5. Step 5: Solve for x
   x = 2,500,700,049/30,259.50
6. Step 6: Final answer
   x = 82,641.82