Finding the Third Proportional to 31,897 and 69,621

Step by Step Solution

1. Step 1: Write the proportion equation
   31,897 : 69,621 = 69,621 : x
2. Step 2: Convert to fraction form
   31,897/69,621 = 69,621/x
3. Step 3: Cross multiply
   31,897x = 69,621 × 69,621
4. Step 4: Simplify right side
   31,897x = 4,847,083,641
5. Step 5: Solve for x
   x = 4,847,083,641/31,897
6. Step 6: Final answer
   x = 151,960.49