Finding the Third Proportional to 31,859 and 69,170

Step by Step Solution

1. Step 1: Write the proportion equation
   31,859 : 69,170 = 69,170 : x
2. Step 2: Convert to fraction form
   31,859/69,170 = 69,170/x
3. Step 3: Cross multiply
   31,859x = 69,170 × 69,170
4. Step 4: Simplify right side
   31,859x = 4,784,488,900
5. Step 5: Solve for x
   x = 4,784,488,900/31,859
6. Step 6: Final answer
   x = 150,177.00