Finding the Third Proportional to 33,848 and 78,014

Step by Step Solution

1. Step 1: Write the proportion equation
   33,848 : 78,014 = 78,014 : x
2. Step 2: Convert to fraction form
   33,848/78,014 = 78,014/x
3. Step 3: Cross multiply
   33,848x = 78,014 × 78,014
4. Step 4: Simplify right side
   33,848x = 6,086,184,196
5. Step 5: Solve for x
   x = 6,086,184,196/33,848
6. Step 6: Final answer
   x = 179,809.27