Finding the Third Proportional to 31,806 and 69,078

Step by Step Solution

1. Step 1: Write the proportion equation
   31,806 : 69,078 = 69,078 : x
2. Step 2: Convert to fraction form
   31,806/69,078 = 69,078/x
3. Step 3: Cross multiply
   31,806x = 69,078 × 69,078
4. Step 4: Simplify right side
   31,806x = 4,771,770,084
5. Step 5: Solve for x
   x = 4,771,770,084/31,806
6. Step 6: Final answer
   x = 150,027.36