Finding the Third Proportional to 33,080 and 78,026

Step by Step Solution

1. Step 1: Write the proportion equation
   33,080 : 78,026 = 78,026 : x
2. Step 2: Convert to fraction form
   33,080/78,026 = 78,026/x
3. Step 3: Cross multiply
   33,080x = 78,026 × 78,026
4. Step 4: Simplify right side
   33,080x = 6,088,056,676
5. Step 5: Solve for x
   x = 6,088,056,676/33,080
6. Step 6: Final answer
   x = 184,040.41