Finding the Third Proportional to 33,642 and 72,111.94

Step by Step Solution

1. Step 1: Write the proportion equation
   33,642 : 72,111.94 = 72,111.94 : x
2. Step 2: Convert to fraction form
   33,642/72,111.94 = 72,111.94/x
3. Step 3: Cross multiply
   33,642x = 72,111.94 × 72,111.94
4. Step 4: Simplify right side
   33,642x = 5,200,131,530.00
5. Step 5: Solve for x
   x = 5,200,131,530.00/33,642
6. Step 6: Final answer
   x = 154,572.60