Finding the Third Proportional to 33,694 and 72,994

Step by Step Solution

1. Step 1: Write the proportion equation
   33,694 : 72,994 = 72,994 : x
2. Step 2: Convert to fraction form
   33,694/72,994 = 72,994/x
3. Step 3: Cross multiply
   33,694x = 72,994 × 72,994
4. Step 4: Simplify right side
   33,694x = 5,328,124,036
5. Step 5: Solve for x
   x = 5,328,124,036/33,694
6. Step 6: Final answer
   x = 158,132.72