Finding the Third Proportional to 33,090 and 78,102

Step by Step Solution

1. Step 1: Write the proportion equation
   33,090 : 78,102 = 78,102 : x
2. Step 2: Convert to fraction form
   33,090/78,102 = 78,102/x
3. Step 3: Cross multiply
   33,090x = 78,102 × 78,102
4. Step 4: Simplify right side
   33,090x = 6,099,922,404
5. Step 5: Solve for x
   x = 6,099,922,404/33,090
6. Step 6: Final answer
   x = 184,343.38