Finding the Third Proportional to 33,139 and 72,578

Step by Step Solution

1. Step 1: Write the proportion equation
   33,139 : 72,578 = 72,578 : x
2. Step 2: Convert to fraction form
   33,139/72,578 = 72,578/x
3. Step 3: Cross multiply
   33,139x = 72,578 × 72,578
4. Step 4: Simplify right side
   33,139x = 5,267,566,084
5. Step 5: Solve for x
   x = 5,267,566,084/33,139
6. Step 6: Final answer
   x = 158,953.68