Finding the Third Proportional to 33,935 and 76,210

Step by Step Solution

1. Step 1: Write the proportion equation
   33,935 : 76,210 = 76,210 : x
2. Step 2: Convert to fraction form
   33,935/76,210 = 76,210/x
3. Step 3: Cross multiply
   33,935x = 76,210 × 76,210
4. Step 4: Simplify right side
   33,935x = 5,807,964,100
5. Step 5: Solve for x
   x = 5,807,964,100/33,935
6. Step 6: Final answer
   x = 171,149.67