Finding the Third Proportional to 40,766 and 84,152

Step by Step Solution

1. Step 1: Write the proportion equation
   40,766 : 84,152 = 84,152 : x
2. Step 2: Convert to fraction form
   40,766/84,152 = 84,152/x
3. Step 3: Cross multiply
   40,766x = 84,152 × 84,152
4. Step 4: Simplify right side
   40,766x = 7,081,559,104
5. Step 5: Solve for x
   x = 7,081,559,104/40,766
6. Step 6: Final answer
   x = 173,712.39