Finding the Third Proportional to 33,100.75 and 78,072.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,100.75 : 78,072.63 = 78,072.63 : x
2. Step 2: Convert to fraction form
   33,100.75/78,072.63 = 78,072.63/x
3. Step 3: Cross multiply
   33,100.75x = 78,072.63 × 78,072.63
4. Step 4: Simplify right side
   33,100.75x = 6,095,334,774.39
5. Step 5: Solve for x
   x = 6,095,334,774.39/33,100.75
6. Step 6: Final answer
   x = 184,144.91