Finding the Third Proportional to 33,261 and 72,774

Step by Step Solution

1. Step 1: Write the proportion equation
   33,261 : 72,774 = 72,774 : x
2. Step 2: Convert to fraction form
   33,261/72,774 = 72,774/x
3. Step 3: Cross multiply
   33,261x = 72,774 × 72,774
4. Step 4: Simplify right side
   33,261x = 5,296,055,076
5. Step 5: Solve for x
   x = 5,296,055,076/33,261
6. Step 6: Final answer
   x = 159,227.18