Finding the Third Proportional to 33,810 and 78,387

Step by Step Solution

1. Step 1: Write the proportion equation
   33,810 : 78,387 = 78,387 : x
2. Step 2: Convert to fraction form
   33,810/78,387 = 78,387/x
3. Step 3: Cross multiply
   33,810x = 78,387 × 78,387
4. Step 4: Simplify right side
   33,810x = 6,144,521,769
5. Step 5: Solve for x
   x = 6,144,521,769/33,810
6. Step 6: Final answer
   x = 181,736.82