Finding the Third Proportional to 33,029 and 72,007

Step by Step Solution

1. Step 1: Write the proportion equation
   33,029 : 72,007 = 72,007 : x
2. Step 2: Convert to fraction form
   33,029/72,007 = 72,007/x
3. Step 3: Cross multiply
   33,029x = 72,007 × 72,007
4. Step 4: Simplify right side
   33,029x = 5,185,008,049
5. Step 5: Solve for x
   x = 5,185,008,049/33,029
6. Step 6: Final answer
   x = 156,983.50