Finding the Third Proportional to 33,053 and 72,694

Step by Step Solution

1. Step 1: Write the proportion equation
   33,053 : 72,694 = 72,694 : x
2. Step 2: Convert to fraction form
   33,053/72,694 = 72,694/x
3. Step 3: Cross multiply
   33,053x = 72,694 × 72,694
4. Step 4: Simplify right side
   33,053x = 5,284,417,636
5. Step 5: Solve for x
   x = 5,284,417,636/33,053
6. Step 6: Final answer
   x = 159,877.10