Finding the Third Proportional to 33,191 and 72,946

Step by Step Solution

1. Step 1: Write the proportion equation
   33,191 : 72,946 = 72,946 : x
2. Step 2: Convert to fraction form
   33,191/72,946 = 72,946/x
3. Step 3: Cross multiply
   33,191x = 72,946 × 72,946
4. Step 4: Simplify right side
   33,191x = 5,321,118,916
5. Step 5: Solve for x
   x = 5,321,118,916/33,191
6. Step 6: Final answer
   x = 160,318.13