Finding the Third Proportional to 33,789 and 73,340

Step by Step Solution

1. Step 1: Write the proportion equation
   33,789 : 73,340 = 73,340 : x
2. Step 2: Convert to fraction form
   33,789/73,340 = 73,340/x
3. Step 3: Cross multiply
   33,789x = 73,340 × 73,340
4. Step 4: Simplify right side
   33,789x = 5,378,755,600
5. Step 5: Solve for x
   x = 5,378,755,600/33,789
6. Step 6: Final answer
   x = 159,186.59