Finding the Third Proportional to 35,905 and 76,185

Step by Step Solution

1. Step 1: Write the proportion equation
   35,905 : 76,185 = 76,185 : x
2. Step 2: Convert to fraction form
   35,905/76,185 = 76,185/x
3. Step 3: Cross multiply
   35,905x = 76,185 × 76,185
4. Step 4: Simplify right side
   35,905x = 5,804,154,225
5. Step 5: Solve for x
   x = 5,804,154,225/35,905
6. Step 6: Final answer
   x = 161,653.09