Finding the Third Proportional to 33,564 and 78,390

Step by Step Solution

1. Step 1: Write the proportion equation
   33,564 : 78,390 = 78,390 : x
2. Step 2: Convert to fraction form
   33,564/78,390 = 78,390/x
3. Step 3: Cross multiply
   33,564x = 78,390 × 78,390
4. Step 4: Simplify right side
   33,564x = 6,144,992,100
5. Step 5: Solve for x
   x = 6,144,992,100/33,564
6. Step 6: Final answer
   x = 183,082.83