Finding the Third Proportional to 33,107 and 78,083

Step by Step Solution

1. Step 1: Write the proportion equation
   33,107 : 78,083 = 78,083 : x
2. Step 2: Convert to fraction form
   33,107/78,083 = 78,083/x
3. Step 3: Cross multiply
   33,107x = 78,083 × 78,083
4. Step 4: Simplify right side
   33,107x = 6,096,954,889
5. Step 5: Solve for x
   x = 6,096,954,889/33,107
6. Step 6: Final answer
   x = 184,159.09