Finding the Third Proportional to 35,488 and 76,210

Step by Step Solution

1. Step 1: Write the proportion equation
   35,488 : 76,210 = 76,210 : x
2. Step 2: Convert to fraction form
   35,488/76,210 = 76,210/x
3. Step 3: Cross multiply
   35,488x = 76,210 × 76,210
4. Step 4: Simplify right side
   35,488x = 5,807,964,100
5. Step 5: Solve for x
   x = 5,807,964,100/35,488
6. Step 6: Final answer
   x = 163,659.94