Finding the Third Proportional to 33,773.25 and 78,186

Step by Step Solution

1. Step 1: Write the proportion equation
   33,773.25 : 78,186 = 78,186 : x
2. Step 2: Convert to fraction form
   33,773.25/78,186 = 78,186/x
3. Step 3: Cross multiply
   33,773.25x = 78,186 × 78,186
4. Step 4: Simplify right side
   33,773.25x = 6,113,050,596
5. Step 5: Solve for x
   x = 6,113,050,596/33,773.25
6. Step 6: Final answer
   x = 181,002.73