Finding the Third Proportional to 31,405 and 69,008

Step by Step Solution

1. Step 1: Write the proportion equation
   31,405 : 69,008 = 69,008 : x
2. Step 2: Convert to fraction form
   31,405/69,008 = 69,008/x
3. Step 3: Cross multiply
   31,405x = 69,008 × 69,008
4. Step 4: Simplify right side
   31,405x = 4,762,104,064
5. Step 5: Solve for x
   x = 4,762,104,064/31,405
6. Step 6: Final answer
   x = 151,635.22