Finding the Third Proportional to 33,102 and 78,072

Step by Step Solution

1. Step 1: Write the proportion equation
   33,102 : 78,072 = 78,072 : x
2. Step 2: Convert to fraction form
   33,102/78,072 = 78,072/x
3. Step 3: Cross multiply
   33,102x = 78,072 × 78,072
4. Step 4: Simplify right side
   33,102x = 6,095,237,184
5. Step 5: Solve for x
   x = 6,095,237,184/33,102
6. Step 6: Final answer
   x = 184,135.01