Finding the Third Proportional to 33,007 and 71,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,007 : 71,275.50 = 71,275.50 : x
2. Step 2: Convert to fraction form
   33,007/71,275.50 = 71,275.50/x
3. Step 3: Cross multiply
   33,007x = 71,275.50 × 71,275.50
4. Step 4: Simplify right side
   33,007x = 5,080,196,900.25
5. Step 5: Solve for x
   x = 5,080,196,900.25/33,007
6. Step 6: Final answer
   x = 153,912.71