Finding the Third Proportional to 33,087 and 78,094

Step by Step Solution

1. Step 1: Write the proportion equation
   33,087 : 78,094 = 78,094 : x
2. Step 2: Convert to fraction form
   33,087/78,094 = 78,094/x
3. Step 3: Cross multiply
   33,087x = 78,094 × 78,094
4. Step 4: Simplify right side
   33,087x = 6,098,672,836
5. Step 5: Solve for x
   x = 6,098,672,836/33,087
6. Step 6: Final answer
   x = 184,322.33