Finding the Third Proportional to 30,165 and 50,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,165 : 50,005.50 = 50,005.50 : x
2. Step 2: Convert to fraction form
   30,165/50,005.50 = 50,005.50/x
3. Step 3: Cross multiply
   30,165x = 50,005.50 × 50,005.50
4. Step 4: Simplify right side
   30,165x = 2,500,550,030.25
5. Step 5: Solve for x
   x = 2,500,550,030.25/30,165
6. Step 6: Final answer
   x = 82,895.74