Finding the Third Proportional to 31,582 and 69,104

Step by Step Solution

1. Step 1: Write the proportion equation
   31,582 : 69,104 = 69,104 : x
2. Step 2: Convert to fraction form
   31,582/69,104 = 69,104/x
3. Step 3: Cross multiply
   31,582x = 69,104 × 69,104
4. Step 4: Simplify right side
   31,582x = 4,775,362,816
5. Step 5: Solve for x
   x = 4,775,362,816/31,582
6. Step 6: Final answer
   x = 151,205.21