Finding the Third Proportional to 37,120 and 76,826

Step by Step Solution

1. Step 1: Write the proportion equation
   37,120 : 76,826 = 76,826 : x
2. Step 2: Convert to fraction form
   37,120/76,826 = 76,826/x
3. Step 3: Cross multiply
   37,120x = 76,826 × 76,826
4. Step 4: Simplify right side
   37,120x = 5,902,234,276
5. Step 5: Solve for x
   x = 5,902,234,276/37,120
6. Step 6: Final answer
   x = 159,004.16