Finding the Third Proportional to 31,818 and 69,104

Step by Step Solution

1. Step 1: Write the proportion equation
   31,818 : 69,104 = 69,104 : x
2. Step 2: Convert to fraction form
   31,818/69,104 = 69,104/x
3. Step 3: Cross multiply
   31,818x = 69,104 × 69,104
4. Step 4: Simplify right side
   31,818x = 4,775,362,816
5. Step 5: Solve for x
   x = 4,775,362,816/31,818
6. Step 6: Final answer
   x = 150,083.69