Finding the Third Proportional to 33,536 and 78,320

Step by Step Solution

1. Step 1: Write the proportion equation
   33,536 : 78,320 = 78,320 : x
2. Step 2: Convert to fraction form
   33,536/78,320 = 78,320/x
3. Step 3: Cross multiply
   33,536x = 78,320 × 78,320
4. Step 4: Simplify right side
   33,536x = 6,134,022,400
5. Step 5: Solve for x
   x = 6,134,022,400/33,536
6. Step 6: Final answer
   x = 182,908.59