Finding the Third Proportional to 36,225 and 76,810

Step by Step Solution

1. Step 1: Write the proportion equation
   36,225 : 76,810 = 76,810 : x
2. Step 2: Convert to fraction form
   36,225/76,810 = 76,810/x
3. Step 3: Cross multiply
   36,225x = 76,810 × 76,810
4. Step 4: Simplify right side
   36,225x = 5,899,776,100
5. Step 5: Solve for x
   x = 5,899,776,100/36,225
6. Step 6: Final answer
   x = 162,864.76