Finding the Third Proportional to 31,285 and 68,078

Step by Step Solution

1. Step 1: Write the proportion equation
   31,285 : 68,078 = 68,078 : x
2. Step 2: Convert to fraction form
   31,285/68,078 = 68,078/x
3. Step 3: Cross multiply
   31,285x = 68,078 × 68,078
4. Step 4: Simplify right side
   31,285x = 4,634,614,084
5. Step 5: Solve for x
   x = 4,634,614,084/31,285
6. Step 6: Final answer
   x = 148,141.73