Finding the Third Proportional to 36,260 and 76,870

Step by Step Solution

1. Step 1: Write the proportion equation
   36,260 : 76,870 = 76,870 : x
2. Step 2: Convert to fraction form
   36,260/76,870 = 76,870/x
3. Step 3: Cross multiply
   36,260x = 76,870 × 76,870
4. Step 4: Simplify right side
   36,260x = 5,908,996,900
5. Step 5: Solve for x
   x = 5,908,996,900/36,260
6. Step 6: Final answer
   x = 162,961.86