Finding the Third Proportional to 33,844 and 78,002

Step by Step Solution

1. Step 1: Write the proportion equation
   33,844 : 78,002 = 78,002 : x
2. Step 2: Convert to fraction form
   33,844/78,002 = 78,002/x
3. Step 3: Cross multiply
   33,844x = 78,002 × 78,002
4. Step 4: Simplify right side
   33,844x = 6,084,312,004
5. Step 5: Solve for x
   x = 6,084,312,004/33,844
6. Step 6: Final answer
   x = 179,775.20