Finding the Third Proportional to 33,993 and 72,902.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,993 : 72,902.25 = 72,902.25 : x
2. Step 2: Convert to fraction form
   33,993/72,902.25 = 72,902.25/x
3. Step 3: Cross multiply
   33,993x = 72,902.25 × 72,902.25
4. Step 4: Simplify right side
   33,993x = 5,314,738,055.06
5. Step 5: Solve for x
   x = 5,314,738,055.06/33,993
6. Step 6: Final answer
   x = 156,348.01